Question

Estimate, correct to three decimal places, all the zeros of the following polynomials. (Enter your answers as comma-separated lists.)

(a) P(x) = 4x³5x² - 2x + 1
X=

(b) P(x) = 5x³+x² - 7x-2
X=

(c) P(x) = 2x³-6x² - 5x + 4
X=

(d) P(x)=x² - 4x³ + 5x - 1
X=

Answer 1

(a) P(x) = 4x³ + 5x² - 2x + 1
The zeros of P(x) are approximately -1.160, -0.086, and 0.246.

(b) P(x) = 5x³ + x² - 7x - 2
The zeros of P(x) are approximately -1.518, -0.471, and 0.660.

(c) P(x) = 2x³ - 6x² - 5x + 4
The zeros of P(x) are approximately -1.343, 0.515, and 1.828.

(d) P(x) = x² - 4x³ + 5x - 1
The zeros of P(x) are approximately -0.408 and 1.225.