Question

expand the expression to a polynomial in standard form:
$(x - 3)(-x^2 - x + 9)$

Explanation:

Step1: Distribute $x$ to each term

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

Step2: Distribute $-3$ to each term

$-3(-x^2) + (-3)(-x) + (-3)(9) = 3x^2 + 3x - 27$

Step3: Combine like terms

$(-x^3) + (-x^2 + 3x^2) + (9x + 3x) + (-27) = -x^3 + 2x^2 + 12x - 27$

Answer:

$-x^3 - 2x^2 + 12x - 27$