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is x 4 a factor of y x 3 13x 12 explain how you know

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Is (X+4) a factor of y=x^3-13x+12? Explain how you know.

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Answer to a math question Is (X+4) a factor of y=x^3-13x+12? Explain how you know.

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96 Answers

1. Define the polynomial:

f(x) = x^3 - 13x + 12

2. Use the Factor Theorem: if (x + 4) is a factor, then (f(-4)) should be 0.

3. Compute (f(-4)):

f(-4) = (-4)^3 - 13(-4) + 12

f(-4) = -64 + 52 + 12

f(-4) = -64 + 64 = 0

4. Since (f(-4) = 0), (x + 4) is a factor of (x^3 - 13x + 12).

Answer: (x + 4) is a factor.

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