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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other.

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Set both problems up using the long division format…numerator goes inside, denominator goes outside.

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Starting with the problem on the right, how many 24’s will dill divide 31 without going over ? ?

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Starting with the problem on the right, how many 24’s will dill divide 31 without going over ? 1… 1

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : You then multiply 1 x 24 and place it under the 31, and subtract. 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : For our algebra problem, we will always divide the first term of the numerator ( inside ) by the first term of the denominator ( outside). 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : That answer will fill in the first part of our answer. 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Then you multiply that result by the outside... 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : That result is subtracted just like the long division with numbers problem…... 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Here is where we must be careful !!! 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Here is where we must be careful !!! The first terms will always subtract to be zero. 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : Here is where we must be careful !!! The first terms will always subtract to be zero. Then, you have a double negative sign when subtracting the next two terms… 1 - 24 7

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 1 - 24 72 Bring down the next term in both…

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 1 - 24 72 How many 24’s divide 72 ?

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 How many 24’s divide 72 ? 3…

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 Multiply and subtract… - 72 0

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 Divide the first term of the new expression, by the first term of the outside… - 72 0

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 That result is the next part of the answer… - 72 0

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 Multiply that result by the outside… - 72 0

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 And place the result under the last expression and subtract… - 72 0

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : 13 - 24 72 You should get the same expression. A double line shows no remainder - 72 0

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POLYNOMIALS – Dividing By a Binomial Dividing a polynomial by a binomial is similar to long division with numbers. In the first example, we’ll look at how they compare to each other. EXAMPLE # 1 : You should get the same expression. A double line shows no remainder

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 :

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : All expressions should be written in descending order. The expression in our numerator is missing the x 1 term. Since it holds place value like a zero in the number 105, we need to show it as “0x” when doing our division

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Again we will begin by dividing the first term inside by the first term outside…

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : This result is the first part of our answer…

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Multiply that result by the outside…

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Multiply that result by the outside…and subtract

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Again, it is

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Bring down the next term…

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Divide the new first term by the outside first term…

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Divide the new first term by the outside first term…and place it in the answer

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Multiply…

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 : Multiply…and subtract

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POLYNOMIALS – Dividing By a Binomial Let’s try another… EXAMPLE # 2 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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POLYNOMIALS – Dividing By a Binomial Sometimes there are more than three terms in our numerator. Just keep dividing any remainder’s first term by the outside’s first term EXAMPLE # 1 :

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Polynomial Long Division. And we know that FACTORS help us find x intercepts and solutions! This is what we were using long division in grade school for….

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