Question

What is the quotient of (x3+3x2-4x-12)/(x2+5x+6)

Answer 1

Your answer will be x-2. Hope I helped! 

Answer 2

Quotient is x - 2.

Explanation:

Given: Dividend = x³ + 3x² - 4x - 12

Divisor = x² + 5x + 6

To find: Quotient of the division.

First factor we get while dividing given polynomial = x as x × x² gives highest degree term of dividend.

After this step we get -2x² - 10x - 12 as remainder.

Now next factor is -2 becuase -2 × x² gives -2x²

Doing this step we get 0 as remainder.

Long Division is attached in pic.

after Division, we get

Quotient = x - 2

and Remainder = 0 .

Therefore, Quotient is x - 2.