QuestionAugust 27, 2025

Expand the expression to a polynomial in standard form: (4x+9)(-x^2-3x+1) Answer Attemptiout of 2 square

Expand the expression to a polynomial in standard form: (4x+9)(-x^2-3x+1) Answer Attemptiout of 2 square
Expand the expression to a polynomial in standard form:
(4x+9)(-x^2-3x+1)
Answer Attemptiout of 2
square

Solution
4.6(386 votes)

Answer

-4x^3 - 21x^2 - 23x + 9 Explanation 1. Distribute 4x across (-x^2 - 3x + 1) 4x \cdot (-x^2) = -4x^3, 4x \cdot (-3x) = -12x^2, 4x \cdot 1 = 4x 2. Distribute 9 across (-x^2 - 3x + 1) 9 \cdot (-x^2) = -9x^2, 9 \cdot (-3x) = -27x, 9 \cdot 1 = 9 3. Combine like terms Combine -4x^3, -12x^2 - 9x^2 = -21x^2, 4x - 27x = -23x, and 9

Explanation

1. Distribute $4x$ across $(-x^2 - 3x + 1)$<br /> $4x \cdot (-x^2) = -4x^3$, $4x \cdot (-3x) = -12x^2$, $4x \cdot 1 = 4x$<br />2. Distribute $9$ across $(-x^2 - 3x + 1)$<br /> $9 \cdot (-x^2) = -9x^2$, $9 \cdot (-3x) = -27x$, $9 \cdot 1 = 9$<br />3. Combine like terms<br /> Combine $-4x^3$, $-12x^2 - 9x^2 = -21x^2$, $4x - 27x = -23x$, and $9$
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