Question

if zeroes of the quadratic polynomial is 4 and -5 .find the quadratic polynomial

Answer 1

Answer: here it is

Step-by-step explanation:

so, all quadratic equations are in the form of

f(x)= k(x^2-(sum of zeroes)x+product of zeroes)

where k is constant

sum of zeroes= -5+4

i.e -1

product of zeroes= 4*-5

i.e -20

so, the quadratic polynomial is

(x^2-(-1)x+-20)

therefore, (x^2+x-20) is the answer

hope it helps you

Answer 2

Answer:

let α = 4 , β= -5

so α+β = 4+(-5) = -1

and αβ = 4×(-5) = -20

so the polynomial be

x²-(α+β)x + αβ

x² - (-1)x +(-20)

x²+1x-20

hope it will help you