Question

Can someone help me make a polynomial where the zeros are -1,2,4

Answer 1

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 -4 and 2

let α = -4 and β= 2

Therefore, substituting the value α = -4 and β= 2  we get

f(x) = x2 - (α + β) x + αβ

= x2 - ( -4 + 2) x +(-4)(2)

= x2 + 2x - 8

Thus, x2 + 2x - 8 is the quadratic polynomial whose zeroes are -4 and 2.

Answer 2

Step-by-step explanation:

f(x)=(x-a)(x-b)(x-c)

f(x)=(x×1)(x-2)(x-4)

by multiplying those we get the polynomial

hope this helps you