Question

expand the expression to a polynomial in standard form: ((2x + 1)(x^2 - x - 7))

Explanation:

Step1: Distribute $2x$ to each term

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

Step2: Distribute $1$ to each term

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

Step3: Combine like terms

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

Answer:

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