Zero of the polynomial $p\left(x\right)$ where $p\left(x\right)=ax,a\ne 0$ is :

Q. Zero of the polynomial $p\left(x\right)$ where $p\left(x\right)=ax,a\ne 0$ is :

Q. Assertion :If p(x) is a polynomial of degree $\ge$ 1 and ax+b is a factor of p(x) then we have $p(-\frac{b}{a})=0$. Reason: If p(x) is a polynomial of degree $\ge$ 1, then polynomial (x-a)(x-b) is a factor of p(x) if p(a)=0 and p(b)=0.

Q. Find the zero of the polynomial in each of the following cases:
(i) p(x) = 3x - 2
(ii) p(x) = 3x
(iii) p(x) = ax, a $\ne$ 0
(iv) p(x) = cx + d, c $\ne$ 0, c, d are real numbers.

Q.

If ‘p’ and ‘q’ are the zeroes of the polynomial P(x) = $x^2$ + ax + b =0, then P(x) can be written as:

Q.

If ‘p’ and ‘q’ are the zeroes of the polynomial P(x) = $x^2$ + ax + b =0, then P(x) can be written as