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4 years ago

Find the zeros of the polynomial function.

Mathematics

1 answer:

Ivanshal [37]4 years ago

5 0

f(x) = x^3 + 5x^2 - 4x - 20

The zeros of the polynomial function: x^3 + 5x^2 - 4x - 20 = 0

x^3 + 5x^2 - 4x - 20 = 0

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

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

(x + 2)(x - 2)(x + 5) = 0

(x + 2) = 0; x = -2

(x - 2) = 0; x = 2

(x + 5) = 0; x = -5

Answer is the first one

x = -5, x = -2, x = 2

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Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.88}{2} = 0.94$ . So we have T = 1.6176

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