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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.

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Presentation on theme: "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."— Presentation transcript:

1 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.

2 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 :

3 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.

4 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 ? ?

5 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

6 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

7 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)

8 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

9 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

10 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…

11 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 !!!

12 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

13 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…

14 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 : Bring down the next term in both…

15 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 : How many 24’s divide 72 ?

16 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 : How many 24’s divide 72 ? 3…

17 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 : Multiply and subtract…

18 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 : Divide the first term of the new expression, by the first term of the outside…

19 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 the next part of the answer…

20 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 : Multiply that result by the outside…

21 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 : And place the result under the last expression and subtract…

22 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

23 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

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

25 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

26 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…

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

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

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

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

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

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

33 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

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

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

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

37 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 :

38 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 :

39 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 :

40 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 :

41 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 :

42 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 :

43 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 :

44 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 :

45 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 :

46 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 :

47 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 :

48 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 :

49 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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