Which of the following is equal to (x^4 + 4x^3 − 3x^2 − 12x) divided by (x + 4)? F x^3 − 3x G x3 + 3x H x^3 − 2x^2 − 3x G x^3 + 3x J x^3 + 2x^2 − 3x

asked Oct 6, 2023 84.1k views

1 vote

Which of the following is equal to (x^4 + 4x^3 − 3x^2 − 12x) divided by (x + 4)?

F x^3 − 3x G x3 + 3x
H x^3 − 2x^2 − 3x
G x^3 + 3x
J x^3 + 2x^2 − 3x

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5 votes

Answer:

Explanation:

$x^4+4x^3-3x^2-12x=x^3(x+4)-3x(x+4)=(x^3-3x)(x+4) \\ \\ \therefore (x^4+4x^3-3x^2-12x)/(x+4)=x^3-3x$

Tanmoy Sarker answered Oct 12, 2023

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