Question

find a polynomial f(x) of degree 4 that has the following zeros:
0,7,-4,5

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Answer 1

(x-0)(x-7)(x+4)(x-5) = 0
(x^2 -7x)(x^2-x -20) = 0

x^2(x^2-x-20)-7x(x^2-x -20)

= x^4 -x^3 - 20 x^2 - 7x^3 + 7x^2 + 140 x

= x^4 - 8 x^3 - 13 x^2 + 140 x

Answer 2

find a polynomial f(x) of degree 4 that has the following zeros:
-1,7,0,-4

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