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balandron [24]
2 years ago
9

What is the quotient of (x^3+3x^2-4x-12) / (x^2+5x+6)?

Mathematics
1 answer:
11111nata11111 [884]2 years ago
8 0

Answer:

<u>The quotient is x -2</u>

Step-by-step explanation:

1. Let's simplify and find out the quotient of the following division:

(x^3+3x^2-4x-12) / (x^2+5x+6)

(x³ + 3x² - 4x - 12)/ (x² + 5x + 6)

(x + 2) (x² + x - 6) / (x + 2) (x + 3) ⇒ Factorizing on the numerator and the denominator

(x² + x - 6) / (x + 3) ⇒ Eliminating (x + 2) on the numerator and the denominator

(x + 3) (x - 2) / (x + 3) ⇒ Factorizing on the numerator

x - 2 ⇒ Eliminating (x + 3) on the numerator and the denominator

<u>The quotient is x -2</u>

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Work Shown:

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