Question

multiply polynomials (level 1)
score: 1.5/10 penalty: 0.25 off
question
expand the expression to a polynomial in standard form:
$(2x + 1)(3x^2 + 3x - 2)$
answer attempt 1 out of 2

Explanation:

Step1: Distribute $2x$ to each term

$2x \cdot 3x^2 + 2x \cdot 3x + 2x \cdot (-2) = 6x^3 + 6x^2 - 4x$

Step2: Distribute $1$ to each term

$1 \cdot 3x^2 + 1 \cdot 3x + 1 \cdot (-2) = 3x^2 + 3x - 2$

Step3: Combine like terms

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

Answer:

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