Question

Verify whether the following are zeros of the polynomial indicated against them:

$g\left(x\right)=5x^2+7x,x=0,-\frac{7}{5}$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, $p\left(x\right)=5x^2+7x$

Now, $p\left(0\right)=5(0{)}^2+7(0)=0$ and

$p\left(\frac{-7}{5}\right)=5{\left(\frac{-7}{5}\right)}^2+7\left(\frac{-7}{5}\right)=\frac{49}{5}-\frac{49}{5}=0$

Clearly, $p\left(0\right)=0$ and $p\left(\frac{-7}{5}\right)=0$

$\therefore x=0,\frac{-7}{5}$are zeroes of given polynomial.

Hence, it is true and option $A$ is correct.