Can someone help me make a polynomial where the zeros are -1,2,4
Answers
Answered by
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.
Answered by
0
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
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