Question

If $f\left(x\right)=(x-a)(x-b)$, then $f\left(a\right)=f\left(b\right)$.

• A. True
• B. False

Answer 1

The correct option is A

True

Since, $a$ and $b$ are the zeroes of the polynomial $f\left(x\right)$, both $f\left(a\right)=0$ and $f\left(b\right)=0$, i.e. $a$ and $b$ will be the roots of the equation $f\left(x\right)=0$.
Thus, $f\left(a\right)=f\left(b\right)=0$. Hence, the given statement is true.