Question

The sum and the product of zeroes of a quadratic polynomial $p\left(x\right)$ are $-7$ and $-10$ respectively. Then $p\left(x\right)$ is :

• A. $x^2-7x-10$
• B. $x^2-7x+10$
• C. $x^2+7x-10$
• D. $x^2+7x+10$

Answer 1

Answer: (C)

$x^2+7x-10$

Given: Sum of zeroes $=-7$ and product of zeroes $=-10$

We know that

$p\left(x\right)=x^2-\left(\text{sum of zeroes}\right)x+\left(\text{product of zeroes}\right)$

$\Rightarrow p\left(x\right)=x^2-(-7)x+(-10)$

$\Rightarrow p\left(x\right)=x^2+7x-10$

is the required polynomial.