3 years ago

The highest rank lord

History

1 answer:

GREYUIT [131]3 years ago

4 0

A duke and duchess hope this helps

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B. -3

The value of a for given polynomial is -3

<h3>Explanation:</h3>

<em>Factor theorem for polynomials,</em>

<u><em>If (x-c) is a factor of polynomial f(x), then f(c)=0</em></u>

Given: x+a is a factor of polynomial $4x^3-13x^2-ax$

Let $f(x) = 4x^3-13x^2-ax$

By Factor theorem, since x+a is a factor of f(x),

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Substituting $x=-a$ in f(x)=0, we get

$f(x) = 4x^3-13x^2-ax = 0\\f(-a)= [4(-a)^3]-[13(-a)^2]-[a(-a)] = 0\\(-4a^3-13a^2+a^2)=0\\(-4a^3-12a^2)=0\\-4a^3=12a^2\\\frac{a^3}{a^2} =\frac{12}{-4} \\\\a=(-3)$

Therefore, value of a is (-3)

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