Question

find a quadratic polynomial if 4,-3 are zeroes​

Answer 1

Answer:

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