Question

Write a quadratic polynomial whose sums of whose zero is _-2
and product is -1​

Answer 1

Step-by-step explanation:

Let S and P denotes respectively the sum and product of the zeros of a polynomial are and 2.

The required polynomial g(x) is given by

Hence, the quadratic polynomial is where k is any non-zero real number.

Answer 2

Answer:

${x}^{2} + 2x - 1$

Step-by-step explanation:

We know that,

Quadratic equation when sum of zeros is 'a' and product of its zeroes is 'b' is,

${x}^{2} - (a)x + (b)$

In this problem, we are given that,

Sum of zeroes (a) = -2

Product of zeroes (b) = -1

On substituting the values in the formula, we have,

${x}^{2} - ( - 2)x + ( - 1)$

${x}^{2} + 2x - 1$

Therefore, our required quadratic equation is x^2+2x-1.

Hope it helps you.

Good Luck.