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# Use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomial

Use the Intermediate Value Theorem and synthetic division to determine whether or not the following polynomials have a real zero between the numbers given

1.P(x) = x^4 + 2x^3 + 2x^2 - 5x + 3; Is there a real zero between 0 and 1?

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- Anonymous1 decade agoFavorite Answer
1.P(x) = x^4 + 2x^3 + 2x^2 - 5x + 3; Is there a real zero between 0 and 1?

P(0) = 3

P(1) = 1 +2 +2 -5 +3 =3.

P(1/2) = 1/16 +2/8 + 2/4 -5 +3 = -1.1875

so there is a cero between 0 and 1/2 and there is a cero between 1/2 and 3.

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