Question

expand the expression to a polynomial in standard form:
$(x + 1)(2x^2 - x - 7)$
answer
attempt 1 out of 2

Explanation:

Step1: Distribute $x$ to each term

$x \cdot 2x^2 + x \cdot (-x) + x \cdot (-7) = 2x^3 - x^2 - 7x$

Step2: Distribute $1$ to each term

$1 \cdot 2x^2 + 1 \cdot (-x) + 1 \cdot (-7) = 2x^2 - x - 7$

Step3: Combine like terms

$2x^3 + (-x^2 + 2x^2) + (-7x - x) + (-7) = 2x^3 + x^2 - 8x -7$

Answer:

$2x^3 + x^2 - 8x - 7$