State whether True or False, if the following are zeros of the polynomial, indicated against them: $p (x) = 5 x - π, x = \frac{4}{5}$ .

True

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False

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Solution

The correct option is B False
Given, $p (x) = 5 x - π$
On substituting $x = \frac{4}{5}$ in $p (x)$ , we get,
$p (\frac{4}{5}) = 5 (\frac{4}{5}) - π = 4 - π$
Since $p (x) \neq 0$ at $x = \frac{4}{5}$ ,
therefore, $x = \frac{4}{5}$ is not a zero of polynomial $p (x) = 5 x - π$
That is, option $B$ is correct.

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Q. Verify whether the following are zeros of the polynomial indicated against them:

p (x) = 5 x - 1; x = \frac{1}{5}

Verify whether the following values indicated against them are zeroes of the polynomial.
$(i) p (x) = 5 x - π, x = \frac{4}{5}$
$(i i) p (x) = x^{2} - 1, x = 1, - 1$ [4 MARKS]

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State whether True or False, if the following are zeros of the polynomial, indicated against them:p(x)=5x−π, x=45.

The correct option is B FalseGiven, p(x)=5x−πOn substituting x=45 in p(x), we get,p(45)=5(45)−π=4−πSince p(x)≠0 at x=45 ,therefore, x=45 is not a zero of polynomial p(x)=5x−πThat is, option B is correct.

State whether True or False, if the following are zeros of the polynomial, indicated against them: $p (x) = 5 x - π, x = \frac{4}{5}$ .