Question

Question 11
Find the zeroes of the polynomial in each of the following.

(i) p(x) = x – 4

(ii) g(x) = 3 – 6x

(iii) q(x) = 2x – 7

(iv) h(y) = 2y

Answer 1

(i) p(x) = x - 4
For zero of polynomial, put p(x) = 0.
$\therefore x–4=0$
$\Rightarrow x=4$
Hence, zero of p(x) is 4.

(ii) g(x) = 3 – 6x
For zero of polynomial, put g(x)=0.
$\therefore 3–6x=0\Rightarrow 6x=3$
$\Rightarrow x=\frac{3}{6}=\frac{1}{2}$
Hence, zero of the polynomial is $\frac{1}{2}$.

(iii) q(x) = 2x - 7
For zero of polynomial, put q(x) = 0.
$\therefore 2x–7=0$
$\Rightarrow 2x=7\Rightarrow x=\frac{7}{2}$
Hence, zero of the polynomial is $\frac{7}{2}$.

(iv) h(y) = 2y
For zero of polynomial, put h(y) = 0.
$2y=0\Rightarrow y=0$
Hence, the zero of the polynomial is 0.