In long division a polynomial is divided by another polynomial with a lower degree
- The two factors are; <u>(x² - x - 12) and (x + 11)</u>
Reason:
The given function is presented as follows;
x³ + 10·x² - 23·x - 132
A factor of the function is (x + 11)
By long division, we have;
Quotient; <u>x² - x - 12</u>
(x³ + 10·x² - 23·x - 132) ÷ (x + 11)
x³ + 11·x²
-x² - 23·x - 132
-x² - 11·x
-12·x - 132
-12·x - 132
0
Therefor, we have the two factors, are (x² - x - 12) and (x + 11)
Where;
(x² - x - 12) = (x - 4)·(x + 3)
Therefore, we have;
(x² - x - 12) × (x + 11) = x³ + 10·x² - 23·x - 132
Learn more about long division here;
brainly.com/question/12562913