How do you use the factor theorem to determine whether x-3 is a factor of $2 x^{3} - 11 x^{2} + 12 x + 9$ $2x^3-11x^2+12x+9$ ?

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How do you use the factor theorem to determine whether x-3 is a factor of $2 x^{3} - 11 x^{2} + 12 x + 9$ $2x^3-11x^2+12x+9$ ?

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Answer 1 · 2015-11-20T16:17:12

$x - a$ $x-a$ is a factor of polynomial $P (x)$ $P(x)$ if and only if $P (a) = 0$ $P(a)=0$

Explanation:

$2 {(3)}^{3} - 11 {(3)}^{2} + 12 (3) + 9 = 54 - 99 + 36 + 9 = (54 + 36 + 9) - 99 = 99 - 99 = 0$ $2(3)^3-11(3)^2+12(3)+9 = 54-99+36+9 = (54+36+9)-99 = 99-99=0$

So $x - 3$ $x-3$ is a factor of $2 x^{3} - 11 x^{2} + 12 x + 9$ $2x^3-11x^2+12x+9$

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How do you use the factor theorem to determine whether x-3 is a factor of $2 x^{3} - 11 x^{2} + 12 x + 9$ $2x^3-11x^2+12x+9$ ?

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How do you use the factor theorem to determine whether x-3 is a factor of 2x3−11x2+12x+92x^3-11x^2+12x+9?

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How do you use the factor theorem to determine whether x-3 is a factor of $2 x^{3} - 11 x^{2} + 12 x + 9$ $2x^3-11x^2+12x+9$ ?