# Polynomial factoring and word problems

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Section 5.1

# 40 Find the greatest common factor for the group of monomials

16x2z, 49xz2, 72z3

#72 Factor out the GCF in each expression.

a(a+1) - 3(a+1)

Section 5.2

#16 Factor the polynomial.

9a2 - 64b2

#80 Use grouping to factor the polynomial completely.

x3 + ax + 3a + 3x2

Section 5.3

#58 Factor the polynomial. If the polynomial is prime, say so.

18z + 45 + z2

#102 Factor the polynomial. If the polynomial is prime, say so.

3x3y2 - 3x2y2 + 3xy2

Section 5.4

#18 Factor the trinomial using the ac method

2x2 + 11x + 5

#88 Factor the polynomial completely.

a2b + 2ab - 15b

Section 5.5

#36 Factor the polynomial completely.

m4 - n4

#82 Factor the polynomial completely. If the polynomial is prime, say so.

9x2 + 4y2

Section 5.6

#18 Solve by factoring.

2h2 - h - 3 = 0

#104 Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27,000. Find his average annual return by solving the equation 12,000(1 + r)2 = 27,000.

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##### Solution Summary

This provides examples of factoring polynomials and solving word problems.

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