Question

Find the greatest common factor of the polynomial 21x⁵ + 9x⁴ + 6x³.

A. 3x³
B. 3x⁴
C. 3x⁵
D. 6x³

Answer 1

To find the greatest common factor (GCF) of the polynomial 21x⁵ + 9x⁴ + 6x³, factor out the common factor of x³ from each term. The GCF is 3x³.

Step-by-step explanation:

To find the greatest common factor (GCF) of the polynomial 21x⁵ + 9x⁴ + 6x³, we need to look for the highest common factor that can divide all the terms. We can start by factoring out the common factor of x³ from each term:

1. 21x⁵ can be written as 3x³(7x²)
2. 9x⁴ can be written as 3x³(3x)
3. 6x³ can be written as 3x³(2)

Now, we can see that the GCF is 3x³, so the correct answer is A. 3x³.