Question

question
expand the expression to a polynomial in standard form:
(2x - 1)(2x² - x + 7)
answer
attempt 1 out of 2

Explanation:

Step1: Distribute $2x$ to each term

$2x \cdot 2x^2 + 2x \cdot (-x) + 2x \cdot 7 = 4x^3 - 2x^2 + 14x$

Step2: Distribute $-1$ to each term

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

Step3: Combine like terms

$4x^3 + (-2x^2 - 2x^2) + (14x + x) - 7 = 4x^3 - 4x^2 + 15x - 7$

Answer:

$4x^3 - 4x^2 + 15x - 7$