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**Factoring using the Tucker Method**

Ax2 + bx + c

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**Steps to Factoring Look for a GCF, if there is one take out the GCF**

Write the first term twice with a line under it Look at what’s left, multiply the coefficient of x2 by the constant (plain number) You need to find two numbers that multiply to that number, but add to the coefficient of the term in the middle Once you have found the numbers that multiply and add to your numbers write those two numbers underneath your first terms that you wrote twice. Reduce your factions Write your answer in parenthesis

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**Example 7x2 – 26x – 8 7x 7x ___ * ___ = -56 -28 2 ___ + ___ = -26**

1 -4 7x2 – 26x – 8 7x x ___ * ___ = -56 ___ + ___ = -26 Since -28 and 2 multiply to -56 and add to we put those numbers underneath of our 7x’s -Simplify the Fractions -Write your answer as parenthesis ( 1x )( 7x )

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**Example Take out a GCF = 5(4x2 + 16x + 7)**

Now focus on the Parenthesis: 4x x ____ * ____ = 28 (4*7) ____ + ____ = 16 Since 2 and 14 multiply to 28 and add to 16, these numbers go underneath our 4x’s -Reduce your fractions and write your answer. Do Not forget to include your original GCF in your answer. 5( 2x + 1)(2x + 7) 2

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Let’s Try 2v2 – 12v + 10

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4y2 + 14y + 6

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18k2 – 12k - 6

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Factoring a polynomial with repeated division. Problem Show that (x-2) and (x+3) area factors of f(x)=2x^4+7x^3-4x^2-27x-18.

Factoring a polynomial with repeated division. Problem Show that (x-2) and (x+3) area factors of f(x)=2x^4+7x^3-4x^2-27x-18.

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