Question

Factor 16w^4+16w^2-140​

Answer 1

Find the Greatest Common Factor (GCF)

GCF = 4

Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)

4(16w^4/4 + 16w^2/4 - 140/4)

Simplify each term in parenthesis

4(4w^4 + 4w^2 - 35)

Split the second term in 4w^4 + 4w^2 - 35 into two terms

4(4w^4 + 14w^2 - 10w^2 - 35)

Factor out common terms in the first two terms, then in the last two terms.

4(2w^2(2w^2 + 7) - 5(2w^2 + 7))

Factor out the common term 2w^2 + 7

= 4(2w^2 + 7)(2w^2 - 5)