If one factor of x2 + 2x – 24 is (x+6), what is the other factor?
(x+8)
(x–8)
(x+4)
(x−4)
Answers
Answered by
5
Answer:
(x-8) is the correct option
Answered by
2
(x-4) is the other factor of the given equation.
Step-by-step explanation:
If one factor of x²+ 2x – 24 is (x+6). We need to find the other factor. Let
f(x) = x²+ 2x – 24
Put x = -8
f(-8) = (-8)²+ 2(-8) – 24 = 24
Put x = 8
f(8) = (8)²+ 2(8) – 24 = 56
Put x = -4
f(-4) = (-4)²+ 2(-4) – 24 = -16
Put x = 4
f(4) = (4)²+ 2(4) – 24 = 0
The value of f(x) is zero at x = 4. So, (x-4) is the other factor of the given equation. Hence, the correct option is (d).
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If one factor of x2 + 2x – 24 is (x+6), what is the other factor?
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