Question

Find the product of 2x^4(4x^2 + 3x + 1).

Answer 1

We want to find the product:

                         $\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)$.

By the $\text{Distributive property}$, we distribute $2x^4$ over each of the three terms inside the parenthesis:

$\displaystyle{ 2x^4\cdot(4x^2 + 3x + 1)=2x^4\cdot4x^2+2x^4\cdot3x+2x^4\cdot1$.

Multiplying the coefficients, and adding the exponents we get:

$8x^6+6x^5+2x^4$.


Answer: $8x^6+6x^5+2x^4$.