In order to find the remaining factor, we can use polynomial long division.
x^2 + 6x + 8
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x - 3 | x^3 - 5x^2 - 2x + 24
x^3 - 3x^2
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- 2x^2 - 2x
- 2x^2 + 6x
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4x + 24
4x - 12
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36
So, x^3 - 5x^2 - 2x + 24 = (x - 3)(x^2 + 6x + 8) + 36
Therefore, the remaining factor is 36.
Among the given options, none of them are equal to 36. Thus, none of the given options is a factor of x^3 - 5x^2 - 2x + 24.
Which of the following is a factor of x^3−5x^2−2x+24, given that x−3 is one of the linear factors?
x-2
x+4
x^2-8x+22
x+2
1 answer