Question

expand the expression to a polynomial in standard form:
$(2x - 1)(x^2 + 5x - 1)$
answer attempt 1 out of 2
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Explanation:

Step1: Distribute $2x$ to each term

$2x(x^2) + 2x(5x) + 2x(-1) = 2x^3 + 10x^2 - 2x$

Step2: Distribute $-1$ to each term

$-1(x^2) + (-1)(5x) + (-1)(-1) = -x^2 -5x +1$

Step3: Combine like terms

$2x^3 + (10x^2 -x^2) + (-2x -5x) +1 = 2x^3 +9x^2 -7x +1$

Answer:

$2x^3 + 9x^2 - 7x + 1$