What is the greatest common factor of the polynomial:

Question

What is the greatest common factor of the polynomial:

 

8x⁵+28x⁴+4x³

 

Answer 1

First look at the numbers:

8, 28, 4

4(2) = 8

4(7) = 28

The GCF of 4, 8, 28 is 4

 

Look at the variables:

x⁵, x⁴, x³

x³(x²) = x⁵

x³(x) = x⁴

The GCF is x³

 

So the GCF of 8x⁵ + 28x⁴ + 4x³ is 4x³

 

8x⁵ + 28x⁴ + 4x³ = 4x³(2x² + 7x + 1)

 

 

Answer 2

8x⁵+28x⁴+4x³

 

The GCF of 8, 28, and 4 is 4

The GCF of x⁵, x⁴, and x³ is x³

 

4x³(2x² + 7x + 1)