Verify that:
Question:

Verify that:

(i) 4 is a zero of the polynomial $p(x)=x-4$.

(ii) $-3$ is a zero of the polynomial $q(x)=x+3$.

(iii) $\frac{2}{5}$ is a zero of the polynomial, $f(x)=2-5 x$.

(iv) $\frac{-1}{2}$ is a zero of the polynomial $g(y)=2 y+1$.

Solution:

(i) $p(x)=x-4$

$\Rightarrow p(4)=4-4$

= 0
Hence, 4 is the zero of the given polynomial.

(ii) $p(x)=(-3)+3$

$\Rightarrow p(3)=0$

Hence, 3 is the zero of the given polynomial.

(iii) $p(x)=2-5 x$

$\Rightarrow p\left(\frac{2}{5}\right)=2-5 \times\left(\frac{2}{5}\right)$

$=2-2$

$=0$

Hence, $\frac{2}{5}$ is the zero of the given polynomial.

(iv) $p(y)=2 y+1$

$\Rightarrow p\left(-\frac{1}{2}\right)=2 \times\left(-\frac{1}{2}\right)+1$

$=-1+1$

$=0$

Hence, $-\frac{1}{2}$ is the zero of the given polynomial.