Question

Find the zeros of the polynomial in each of the following cases:

(iv) $P\left(x\right)=ax-b$

Answer 1

Calculating the zeros of the polynomial:

• Zeros: The zeros of a polynomial are those values of the variable of the polynomial which makes the polynomial zero.
• Equate the polynomial $P\left(x\right)$ to 0 and solve for $x$ to obtain the required value.
• $\begin{array}{rcl}P\left(x\right)& =& 0\\ & \Rightarrow & ax-b=0\\ & \Rightarrow & ax=b(Adding\text{'}b\text{'}tobothsides)\\ \therefore x& =& \frac{b}{a}(Dividingbothsidesby\text{'}a\text{'})\end{array}$

Hence, the zero of the given polynomial is$\frac{b}{a}$.