How do you use the factor theorem to determine whether x=5 is a root of $x^{4} - 3 x^{3} - 9 x^{2} - 5 x = 0$ $x^4-3x^3-9x^2-5x=0$ ?

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How do you use the factor theorem to determine whether x=5 is a root of $x^{4} - 3 x^{3} - 9 x^{2} - 5 x = 0$ $x^4-3x^3-9x^2-5x=0$ ?

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Answer 1 · 2018-03-28T13:19:00

$x = 5 is a root$ $x=5" is a root"$

Explanation:

$if x = 5 is a root then if f (5) = 0 x = 5 is a root$ $"if x = 5 is a root then if "f(5)=0" x = 5 is a root"$

$\Rightarrow {(5)}^{4} - 3 {(5)}^{3} - 9 {(5)}^{2} - 5 (5)$ $rArr(5)^4-3(5)^3-9(5)^2-5(5)$

$= 625 - 375 - 225 - 25 = 0$ $=625-375-225-25=0$

$\Rightarrow x = 5 is a root$ $rArrx=5" is a root"$

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How do you use the factor theorem to determine whether x=5 is a root of $x^{4} - 3 x^{3} - 9 x^{2} - 5 x = 0$ $x^4-3x^3-9x^2-5x=0$ ?

1 Answer

Explanation:

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How do you use the factor theorem to determine whether x=5 is a root of x4−3x3−9x2−5x=0x^4-3x^3-9x^2-5x=0?

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Explanation:

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How do you use the factor theorem to determine whether x=5 is a root of $x^{4} - 3 x^{3} - 9 x^{2} - 5 x = 0$ $x^4-3x^3-9x^2-5x=0$ ?