Verify whether following are True or False: -3 is a zero of y^{2}+y-6.

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2. Polynomials

easy

Verify whether the following are True or False:

$-3$ is a zero of $y^{2}+y-6.$

Option A

Option B

Option C

Option D

Solution

A zero of a polynomial $p ( x )$ is a number $c$ such that $p ( c )=0$

Let $p(y)=y^{2}+y-6$

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

Hence, $-3$ is a zero of the polynomial $y^{2}+y-6$

Standard 9

Mathematics

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