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Which of the following functions has the same zeros as the graph below? the graph has 4 zeros
A.f(x)=x^3+x^2-6x
B.g(x)=(x^2+x-6)(x^2-7x)
C.h(x)=x(x-7)(x+3(x-2)
D.m(x)=(x^3-4x^2-21x)(x-2)
E.n(x)=x^2-9x+14
F.p(x)=x(x+2)(x-3)(x+7)

Respuesta :

CastleRook
For a given polynomial to have more than 4 zeros, the polynomial should be of degree 4 after they have been expanded. That is the highest degree of the polynomial should be 4. Thus from the choices given, the polynomial/s with 4 zeros will be:
C.h(x)=x(x-7)(x+3(x-2)
D.m(x)=(x^3-4x^2-21x)(x-2)
F.p(x)=x(x+2)(x-3)(x+7)
The third one, the fourth one, and the sixth one in case they aren't labeled

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