Answer:
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.