# Factoring and solving equations

Please see the attached file for the fully formatted problems.

Section 5.1

Factor out the GCF in each expression.

EX68)

EX 72) a(a+1)-3(a+1)

Section 5.2

Factor each polynomial

EX 16)

Use grouping to factor each polynomial completely.

EX 80)

Section 5.3

Factor each polynomial. If the polynomial is prime, say so.

EX 58) 18z + 45 + z

Factor each polynomial.

EX 64) h

Section 5.4

Factor each trinomial using the ac method.

Strategy for factoring ax by the ac method.

EX 26) 21x

Factor each polynomial completely.

EX88) a

Section 5.5

Factor each polynomial completely.

EX36) m

Factor each polynomial completely. If a polynomial is a prime say so.

EX44) 3x

Section 5.6

Solve by factoring

Solving an equation by factoring box

EX 18) 2h

Solve each equation.

EX32) 2w(4w+1)=1

Solve each equation

EX54) x

Section 5.6

EX74)

Rectangular stage. One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?

https://brainmass.com/math/basic-algebra/factoring-and-solving-equations-213398

#### Solution Summary

In this solution, topics covered include factoring out the GCF of polynomials, factoring trinomials and polynomials using various methods, and solving by factoring.