Question

multiply polynomials (level 1)
score: 9.25/10 penalty: 0.25 off
question
expand the expression to a polynomial in standard form:
$(2x + 1)(x^2 + 4x - 5)$
answer attempt 1 out of 2
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Explanation:

Step1: Distribute $2x$ to each term

$2x(x^2) + 2x(4x) + 2x(-5) = 2x^3 + 8x^2 - 10x$

Step2: Distribute $1$ to each term

$1(x^2) + 1(4x) + 1(-5) = x^2 + 4x - 5$

Step3: Combine like terms

$2x^3 + (8x^2 + x^2) + (-10x + 4x) + (-5) = 2x^3 + 9x^2 - 6x - 5$

Answer:

$2x^3 + 9x^2 - 6x - 5$