Question

Find the quadratic polynomial, sum and product of whose zeroes are 0 and -1 respectively.

• A. $x^2-1$
• B. $x^2-x+2$
• C. $2x^2+x+2$
• D. $x^2+x$

Answer 1

The correct option is A $x^2-1$

Given the sum and product of zeroes of a quadratic polynomial, the polynomial can be written as $x^2$ - (Sum of the zeroes)x + (Product of the zeroes).
Thus, the required polynomial is:
$x^2-\left(0\right)x+(-1)$
$=x^2-1$