Question

Find the quadratic polynomial whose zeroes are
- 3 and 4
کر​

Answer 1

Answer:

x2 -x-12 is the Quadratic Polynomial Whose zeroes are -3 and 4

Step by Step Explanation:-

A quadratic polynomial in terms of the zeroes (α,β) is given by

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

i.e,

f(x) = x2 -(α +β) x +αβ

Now,

Given that zeroes of a quadratic polynomial are -3 and 4

let α = -3 and β= 4

Therefore, substituting the value α = -3 and β= 4 we get

f(x) = x2 -(α + β) x +αβ

= x2 - ( -3 + 4) x +(-3)(4)

=x2 - x -12

Thus, x2 -x -12 is the quadratic polynomial whose zeroes are -3 and 4.