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jestion 1 · 1 point
multiply and collect like terms: $(3x + 2)(x^2 - 4x - 7)$
provide your answer below:

Explanation:

Step1: Distribute $3x$ to each term

$3x(x^2 - 4x - 7) = 3x^3 - 12x^2 - 21x$

Step2: Distribute $2$ to each term

$2(x^2 - 4x - 7) = 2x^2 - 8x - 14$

Step3: Combine all expanded terms

$3x^3 - 12x^2 - 21x + 2x^2 - 8x - 14$

Step4: Combine like terms

$3x^3 + (-12x^2+2x^2) + (-21x-8x) -14 = 3x^3 -10x^2 -29x -14$

Answer:

$3x^3 - 10x^2 - 29x - 14$