Question

Independent Practice

Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.

2z3 + 12z2 – 5z – 30


A.
z2; –5


B.
2z; –5


C.
2z2; –5


D.
2z2; 5

Answer 1

2z^2; –5

Explanation:

2z3 = 2 • z • z • z 12z2

= 2 • 2 • 3 • z • z

The GCF is 2z2.

–5z3 = –1 • 5 • z • z • z

–30 = –1 • 5 • 6

The GCF is –5.

Answer 2

C.

2z2; –5

Explanation:

Add and subtract the second term to the expression and factor by grouping.

( z + 6 ) ( 2 z 2 − 5 )