Factoring Polynomials
1 Factor Out the Greatest Common Factor of a Polynomial
-$21 x ^ { 4 } - 9 x ^ { 3 } + 12 x ^ { 2 }$
A) $3 x ^ { 2 } \left( 7 x ^ { 2 } - 3 x + 4 \right)$
B) $3 \left( 7 x ^ { 4 } - 3 x ^ { 3 } + 4 x ^ { 2 } \right)$
C) $x ^ { 2 } \left( 21 x ^ { 2 } - 9 x + 12 \right)$
D) $3 x \left( 7 x ^ { 3 } - 3 x ^ { 2 } + 4 x \right)$

Question

Quizplus · Accepted Answer

The greatest common factor (GCF) of the coefficients 21, -9, and 12 is 3, and the lowest power of $x$ that is a factor of all terms is $x^2$. Therefore, factoring out $3x^2$ from each term gives $3x^2(7x^2 - 3x + 4)$.

Factoring Polynomials 1 Factor Out the Greatest Common Factor of a Polynomial

Factoring Polynomials
1 Factor Out the Greatest Common Factor of a Polynomial