Question

verify whether x=1/2 is a zero of the polynomial p(x)=2x-1​

Answer 1

Answer:

Put p(x)=0.

Step-by-step explanation:

Then 2x-1=0 will give x=1/2. This means, If x=1/2 is given to the polynomial p(x), it will give a zero. P(1/2)=0.

Answer 2

Given,

p(x) = 2x - 1

To Find,

Verify whether x=1/2 is a zero of the polynomial p(x)=2x-1​

Solution,

We can solve the question as follows:

It is asked that we have to verify whether x=1/2 is a zero of the polynomial p(x)=2x-1​.

For a function f(x), the zeroes are defined as those values of x which satisfy the equation f(x) = 0.

Here, x = 1/2 is a zero of the polynomial if p(1/2) = 0.

Therefore, substituting x = 1/2 in the given equation,

$p(\frac{1}{2} ) = 2*\frac{1}{2} - 1$

$p(\frac{1}{2} ) = 1 - 1$

$p(\frac{1}{2} ) = 0$

Since the value of x satisfies the equation p(x) = 0, it is a zero of the polynomial.

Hence, x = 1/2 is a zero of the polynomial.