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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

6. Factoring ax²+ bx + c

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Exercise 65 Page 522

Recall the pattern for the square of a binomial.

q^2-30q+225

Practice makes perfect

We want to simplify the given expression. Recall that the square of a binomial with addition is the sum of the square of the first term, twice the product of the terms, and the square of the last term. ( a+ b)^2= a^2+ 2 a b+ b^2 Let's use the above formula to simplify our expression!

( q- 15)^2

ExpandNegPerfectSquare

(a-b)^2=a^2-2ab+b^2

q^2- 2( q)( 15)+ 15^2

Multiply

q^2-30q+15^2

Calculate power

q^2-30q+225

Subchapter links

Lesson Check p.520

Practice and Problem-Solving Exercises p.520-522

Standardized Test Prep p.522

Mixed Review p.522