Question

the modified expression, $x^3(2x + 5) - 4(2x + 5)$, has two terms with a common factor of $2x + 5$. complete
factor out the common factor.
$2x^4 + 5x^3 - 8x -20$
$(x^3 + 4)(-2x - 5)$
$(x^3 - 4)(2x + 5)$
$(x^3 + 4)(2x + 5)$
done

Explanation:

Step1: Identify common factor

Common factor: $2x+5$

Step2: Factor out the common term

Apply distributive property: $a(b)-c(b)=(a-c)(b)$
$\implies x^3(2x+5)-4(2x+5)=(x^3-4)(2x+5)$

Answer:

$\boldsymbol{(x^3 - 4)(2x + 5)}$