If x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, which of the following is another zero of f(x)? ASAP

Respuesta :

The other zeros of the polynomial if 3 is a zero is -4 and 1/2

If  x = 3 is a zero of the polynomial function f(x) = 2x3 + x2 − 25x + 12, then x - 3 is a factor.

To get the other factor we will take the division of the polynomial and the factor to have:

2x^3 + x^2 − 25x + 12/x - 3 = 2x² + 7x - 4

Factorize 2x² + 7x - 4

2x² + 7x - 4 = 0

2x² + 8x - x- 4 = 0

2x(x+4)-1(x+4) = 0

(x+4)(2x-1) = 0

x = -4 and 1/2

Hence the other zeros of the polynomial if 3 is a zero is -4 and 1/2

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