How do you divide a polynomial

1 answer:

8 0

Then: Divide the first term of the numerator by the first term of the denominator, and put that in the answer. Multiply the denominator by that answer, put that below the numerator. Subtract to create a new polynomial.

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Step-by-step explanation:

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What are the zeros of the polynomial function: f(x) = x3 – 5x2 -6x

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The zeros of the polynomial function: f(x) = x^3 – 5x^2 -6x is -1, 0, 6.

<u>Solution:</u>

Given, polynomial equation is $x^{3}-5 x^{2}-6 x$

We have to find the zeroes of the given polynomial.

So, let us equate it with 0.

$\begin{array}{l}{\text { Then, } x^{3}-5 x^{2}-6 x=0} \\\\ {\rightarrow x\left(x^{2}-5 x-6\right)=0} \\\\ {\rightarrow x\left(x^{2}-(6-1) x-6\right)=0} \\\\ {\rightarrow x\left(x^{2}-6 x+x-6\right)=0} \\\\ {\rightarrow x(x(x-6)+1(x-6))=0} \\\\ {\rightarrow x(x-6)(x+1)=0} \\\\ {\rightarrow x=0 \text { or } x-6=0 \text { or } x+1=0} \\\\ {\rightarrow x=0 \text { or } 6 \text { or }-1}\end{array}$

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