Question

Find the GCF of the terms of the polynomial.

Answer 1

Answer: $4x^3$

Step-by-step explanation:

The given algebraic expression: $44x^5 + 16x^3$

Using prime factorization method and law of exponents, rewrite the terms of the expressions as

$4\times11\times(x^{3+2})+4\times4\times x^3\\\\=4\times11\times x^3\times x^2+4\times4\times x^3\\\\=4x^3(11x^2+4)$

We can see $4x^3$ is the common factor in the expressions

⇒The greatest common factor (GCF) of the given expression is =  $4x^3$

Answer 2

A: The GCF of the terms of the polynomial 44x^5 + 16x^3 is 4x^3.
Hope this helped :)