Question

find a quadratic polynomial whose zeroes are 2 and -3

Answer 1

Hey friend.

Sum of roots = -1
Product of roots = -6

Now the polynomial is

X2-(-1)x +(-6)=o
So

Polynomial is

X^2 +X -6

Will be your answer.

Answer 2

2 and -3 are the zeroes

Sum of zeroes = 2+(-3)

» = 2-3 = -1

Product of zeroes = 2(-3)

» = -6

A quadratic polynomial with two zeroes is in the form of

x² -(sum of zeroes)x + (product of zeroes)

=> x²-(-1)x + (-6)

=> x²+x-6

Hope it helps.....