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Factoring using the Tucker Method. Ax 2 + bx + c. 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 x 2 by the constant (plain number)
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Factoring using the Tucker Method Ax2 + bx + c
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
Example 1 -4 7x2 – 26x – 8 7x7x ___ * ___ = -56 -28 2 ___ + ___ = -26 Since -28 and 2 multiply to -56 and add to -26. we put those numbers underneath of our 7x’s -Simplify the Fractions -Write your answer as parenthesis ( 1x - 4 )( 7x + 2 )
Example 20x2 + 80x + 35 Take out a GCF = 5(4x2 + 16x + 7) Now focus on the Parenthesis: 4x4x ____ * ____ = 28 (4*7) 2 14 ____ + ____ = 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 • 1 7
Let’s Try 2v2 – 12v + 10
