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

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

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Answer 1 · 2016-11-06T11:04:39

The remainder is $= - 160$ $=-160$ , so $(x + 5)$ $(x+5)$ is not a factor

Explanation:

Let $f (x) = x^{3} - 5 x^{2} - 9 x + 45$ $f(x)=x^3-5x^2-9x+45$
then $f (- 5) = - 125 - 125 + 45 + 45 = - 160$ $f(-5)=-125-125+45+45=-160$
The remaider is $= - 160$ $=-160$
$:.$ $(x+5)$ is not a factor of $x^3-5x^2-9x+45$

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

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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+5x3−5x2−9x+45÷x+5x^3-5x^2-9x+45 div x+5?

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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 $x^{3} - 5 x^{2} - 9 x + 45 \div x + 5$ $x^3-5x^2-9x+45 div x+5$ ?