10
QuizMultiple Choice

Factoring Polynomials: GCF — Quiz

Question 10 • Algebra I

What is the fully factored form of 32 A cubed plus 12 A squared ?

Answer
A
12 A open paren 3 A squared plus A close paren
B
4 A open paren 8 A squared plus 3 A close paren
C
4 A squared open paren 8 A plus 3 close paren
D
12 A squared open paren 3 A plus 1 close paren

Explanation

The greatest common factor of 32A³ and 12A² is 4A². Factoring it out gives 32A³ + 12A² = 4A²(8A + 3), since multiplying back yields both original terms. The fully factored form is 4A²(8A + 3), choice A.

AI-written and checked against the verified answer.