Question

What is the quotient of (x cubed 3 x squared minus 4 x minus 12) divided by (x squared 5 x 6)? x 2 x – 2 x – 8 x 8

Answer 1

The quotient of the given expression is x-2. The correct option is the second option-  x – 2

Simplification of fractions

From the question, we are to determine the quotient

The given expression is

$\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}$

The numerator can be expressed as

$(x-2)(x^{2} +5x+6)$

Then, the fraction becomes

$\frac{x^{3}+3x^{2} -4x-12 }{x^{2} +5x+6}$ = $\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6}$

Simplifying

$\frac{(x-2)(x^{2} +5x+6)}{x^{2} +5x+6} = x-2$

Hence, the quotient of the given expression is x-2. The correct option is the second option-  x – 2

Learn more on Simplification of fractions here: https://brainly.com/question/26496816

Here is the complete and correct question:

What is the quotient of (x cubed + 3 x squared minus 4 x minus 12') divided by (x squared + 5 x + 6)? x + 2 x – 2 x – 8 x + 8

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