Question

magma math
the future of math education
homework 5: polynomials
find the product.
$(x - 2)(x^{2} + 2x + 1) =$

Explanation:

Step1: Distribute $x$ to the trinomial

$x(x^2 + 2x + 1) = x^3 + 2x^2 + x$

Step2: Distribute $-2$ to the trinomial

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

Step3: Combine the two results

$(x^3 + 2x^2 + x) + (-2x^2 - 4x - 2)$

Step4: Combine like terms

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

Answer:

$x^3 - 3x - 2$