###### Advertisements

###### Advertisements

Verify whether the following are zeros of the polynomial indicated against them, or not

p(x) = 2x − 1, x = `1/2`

###### Advertisements

#### Solution

p(x) = 2x − 1, x = `1/2`

`"p"(1/2) = 2(1/2) - 1`

= 1 – 1

= 0

∴ `1/2` is the zero of the polynomial.

#### APPEARS IN

#### RELATED QUESTIONS

Find p(0), p(1) and p(2) for the following polynomials:-

p(x) = (x – 1) (x + 1)

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

p(x) = (x + 1) (x – 2), x = – 1, 2

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

p(x) = x^{2}, x = 0

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

`p(x) = 3x^2 – 1, x = -1/sqrt3,2/sqrt3`

Find the zero of the polynomial in the following case:- p(x) = x + 5

Find the zero of the polynomial in the following case:- p(x) = x – 5

Find the zero of the polynomial in the following case:-

p(x) = ax, a ≠ 0

Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:

`g(x)=3x^2-2,` `x=2/sqrt3 2/sqrt3`

Find the zero of the polynomial of the following:

p(x) = x – 3

Find the zero of the polynomial of the following :

f(z) = 8z

Find the zero of the polynomial in the following:

h(x) = ax + b, a ≠ 0, a, b ∈ R

Verify whether the following are zeros of the polynomial, indicated against them, or not

p(x) = x^{3} – 1, x = 1

Verify whether the following are zeros of the polynomial, indicated against them, or not

p(x) = (x + 3) (x – 4), x = −3, x = 4

Find the number of zeros of the following polynomial represented by their graph

Find the number of zeros of the following polynomial represented by their graph

Find the number of zeros of the following polynomial represented by their graph

Find the number of zeros of the following polynomial represented by their graph

The zero of the polynomial 2x + 5 is

`(-4)/5` is a zero of 4 – 5y

Find the zeroes of the polynomial in the following:

q(x) = 2x – 7