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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 76 Page 176

Try to group terms with common factors.

10(3c+4d)(a+2b)

Practice makes perfect

To factor given polynomial, we will start by grouping terms with common factors. 30a c+80b d+40a d+60b c ⇕ (30ac+60bc)+(80bd+40ad) Now, we can factor out a greatest common factor - GCF - from each group of terms. Let's do it!

(30ac+60bc)+(80bd+40ad)

FactorOut

Factor out 30c

30c(a+2b)+80bd+40ad

FactorOut

Factor out 40d

30c(a+2b)+40d(2b+a)

FactorOut

Factor out (a+2b)

(30c+40d)(a+2b)

FactorOut

Factor out 10