Two is a zero of the equation x3−x2−14x+24=0. Which factored form is equivalent to the equation?
1 answer:
Answer:
The answer to your question is: letter A
Step-by-step explanation:
x³ - x² - 14x + 24 = 0
If two is a zero of the polynomial, then x = 2, divide the polynomial by 2.
Synthetic division
1 - 1 - 14 + 24 2
2 2 -24
1 1 -12 0
Result x² + x - 12 = 0
Factor the polynomial, find two numbers that multiply gives -12 and added gives + 1.
These numbers are + 4 and - 3
+4 - 3 = +1
(+4)(-3) = -12
(x + 4) (x - 3) = 0
Finally
(x +4)(x - 3)(x -2) = 0
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