Question

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

Explanation:

Step1: Distribute $2x$ to each term

$2x(x^2 - x - 7) = 2x^3 - 2x^2 - 14x$

Step2: Distribute $1$ to each term

$1(x^2 - x - 7) = x^2 - x - 7$

Step3: Combine like terms

$(2x^3 - 2x^2 - 14x) + (x^2 - x - 7) = 2x^3 - x^2 - 15x - 7$

Answer:

$2x^3 - x^2 - 15x - 7$