Verify whether the following are zeros of the polynomial indicated against them:
$p (x) = 5 x - 1; x = \frac{1}{5}$ .

True

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False

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Solution

The correct option is A True
Given, $p (x) = 5 x - 1$ .

We know, $a$ is a zero of $f (x)$ , only if $f (a) = 0$
i.e. to find the root, we have to find $x$ .

Then, $p (\frac{1}{5}) = 5 x - 1$
$\Rightarrow 0 = 5 x - 1$
$\Rightarrow 5 x = 1$
$\Rightarrow x = \frac{1}{5}$ .

Therefore, hence verified.

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Similar questions

Q. Verify whether the following are zeroes of the polynomial, indicated against them.

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Verify whether the following are zeros of the polynomial indicated against them:p(x)=5x−1;x=15.

The correct option is A TrueGiven, p(x)=5x−1.We know, a is a zero of f(x), only if f(a)=0i.e. to find the root, we have to find x.Then, p(15)=5x−1⇒0=5x−1⇒5x=1⇒x=15.Therefore, hence verified.

Verify whether the following are zeros of the polynomial indicated against them:
$p (x) = 5 x - 1; x = \frac{1}{5}$ .