Question

1. what is $(5x + 6)(3x^{2} + 4x + 4)$?

a. $14x^{3} + 38x^{2} + 44x + 23$
b. $15x^{3} + 37x^{2} + 45x + 24$
c. $15x^{3} + 38x^{2} + 44x + 25$
d. $15x^{3} + 38x^{2} + 44x + 24$

Explanation:

Step1: Distribute $5x$ to each term

$5x \cdot 3x^2 + 5x \cdot 4x + 5x \cdot 4 = 15x^3 + 20x^2 + 20x$

Step2: Distribute $6$ to each term

$6 \cdot 3x^2 + 6 \cdot 4x + 6 \cdot 4 = 18x^2 + 24x + 24$

Step3: Combine all like terms

$15x^3 + (20x^2+18x^2) + (20x+24x) + 24 = 15x^3 + 38x^2 + 44x + 24$

Answer:

d. $15x^{3}+38x^{2}+44x+24$