How do you use the remainder theorem to find which if the following is not a factor of the polynomial $x^{3} - 5 x^{2} - 9 x + 45 \div x + 3$ $x^3-5x^2-9x+45 div x+3$ ?

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How do you use the remainder theorem to find which if the following is not a factor of the polynomial $x^{3} - 5 x^{2} - 9 x + 45 \div x + 3$ $x^3-5x^2-9x+45 div x+3$ ?

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Answer 1 · 2016-06-01T19:07:47

$(x + 3)$ $(x+3)$ is a factor

Explanation:

Little Bézout's theorem states that the remainder of dividing a polynomial $p_{n} (x)$ $p_n(x)$ by a linear term $(x - a)$ $(x-a)$ , is given by $p_{n} (a)$ $p_n(a)$
Evaluating $p_3(x)=x^3-5x²-9x+45$ for $x = -3$ we have $p_3(-3)=0$ then $(x+3)$ is a factor of $p_3(x)$

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How do you use the remainder theorem to find which if the following is not a factor of the polynomial $x^{3} - 5 x^{2} - 9 x + 45 \div x + 3$ $x^3-5x^2-9x+45 div x+3$ ?

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Explanation:

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How do you use the remainder theorem to find which if the following is not a factor of the polynomial x^3-5x^2-9x+45 div x+3x3−5x2−9x+45÷x+3x^3-5x^2-9x+45 div x+3?

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Explanation:

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How do you use the remainder theorem to find which if the following is not a factor of the polynomial $x^{3} - 5 x^{2} - 9 x + 45 \div x + 3$ $x^3-5x^2-9x+45 div x+3$ ?