Find the GCF of the terms of the polynomial. 44x⁶ + 8x⁵

Solution:

Given polynomial: 44x⁶ + 8x⁵

Factors of 44x⁶ ⇒ 2 × 2 × 11 × x⁵ × x

Factors of 8x⁵ ⇒ 2 × 2 × 2 × x⁵

The greatest common factors of 44x⁶ and 8x⁵ = 2 × 2 × x⁵

Therefore, the greatest common factors of terms of f(x) = 44x⁶ + 8x⁵ is 4x⁵.

Find the GCF of the terms of the polynomial. 44x⁶ + 8x⁵

Summary:

The GCF of the terms of the polynomial 44x⁶ + 8x⁵ is 4x⁵.