Verify whether 3 and 5 are zeros of polynomial x^{2}-x-6 or not.

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2. Polynomials

medium

Verify whether $3$ and $5$ are zeros of the polynomial $x^{2}-x-6$ or not.

Option A

Option B

Option C

Option D

Solution

Let, $p(x)=x^{2}-x-6$

$\therefore p(3)=(3)^{2}-3-6=9-9=0$

Hence, $3$ is a zero of $p(x)=x^{2}-x-6$

$p(x)=x^{2}-x-6$

$\therefore p(5)=(5)^{2}-5-6=25-11=14$

But $14 \neq 0$

Hence, $5$ is not a zero of $p(x)=x^{2}-x-6$

Standard 9

Mathematics

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