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McGraw Hill Integrated II, 2012 View details

1. Solving Quadratic Equations by Factoring

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Exercise 72 Page 176

Try to group terms with common factors.

(3x+2y)(x+5)

Practice makes perfect

To factor given polynomial, we will start by grouping terms with common factors. 3 x^2+2x y+10 y+15 x ⇕ (3x^2+15x)+(2xy+10y) Now, we can factor out a greatest common factor - GCF - from each group of terms. Let's do it!

(3x^2+15x)+(2xy+10y)

FactorOut

Factor out 3x

3x(x+5)+2xy+10y

FactorOut

Factor out 2y

3x(x+5)+2y(x+5)

FactorOut

Factor out (x+5)

(3x+2y)(x+5)