Question

If one factor of x2 + 2x – 24 is (x+6), what is the other factor?

(x+8)
(x–8)
(x+4)
(x−4)

Answer 1

Answer:

(x-8) is the correct option

Answer 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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