(B) If $x = \frac{1}{2}$ is a zero of the polynomial $p(x) = 2x + 1$,then $p(\frac{1}{2})$ must be equal to $0$.Substituting $x = \frac{1}{2}$ into th

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(B) If $x = \frac{1}{2}$ is a zero of the polynomial $p(x) = 2x + 1$,then $p(\frac{1}{2})$ must be equal to $0$.Substituting $x = \frac{1}{2}$ into the polynomial:$p(\frac{1}{2}) = 2(\frac{1}{2}) + 1$$p(\frac{1}{2}) = 1 + 1 = 2$Since $p(\frac{1}{2}) = 2 \neq 0$,the value $x = \frac{1}{2}$ is not a zero of the given polynomial.

Class 9 Mathematics Polynomials Zeroes of a Polynomial

Easy

Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = 2x + 1, \, x = \frac{1}{2}$

A
Yes
B
No
C
Cannot be determined
D
None of these

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Class 9

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Chapter

Polynomials

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Zeroes of a Polynomial

State whether the following statement is true or false:
The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

Easy

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The zero of the zero polynomial is

Easy

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With the help of the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x + 6$.

Easy

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Verify whether the following is True or False:
$-\frac{4}{5}$ is a zero of $4-5y$.

Easy

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Find the remainder when $x^{3}+3x^{2}+3x+1$ is divided by $5+2x$.

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Verify whether the following is a zero of the polynomial indicated against it:$p(x) = 2x + 1, \, x = \frac{1}{2}$

Similar Questions

State whether the following statement is true or false:The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

The zero of the zero polynomial is

With the help of the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x + 6$.

Verify whether the following is True or False:$-\frac{4}{5}$ is a zero of $4-5y$.

Find the remainder when $x^{3}+3x^{2}+3x+1$ is divided by $5+2x$.

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Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = 2x + 1, \, x = \frac{1}{2}$

State whether the following statement is true or false:
The zero of the polynomial $2x + 3$ is $\frac{3}{2}$.

Verify whether the following is True or False:
$-\frac{4}{5}$ is a zero of $4-5y$.