Question

Find all the zeros of the polynomial function. x^3 + 2x^2 -5x-6 f(x) a) (-3) b) (-2, 1, 3 c) (-3, -1, 2) d) -1) e) none

Answer 1

Answer:1,2,3

Step-by-step explanation:

F(x)=$x^{3}$+2$x^2$-$5x$-$6$=0

disintegrating 2$x^2$ to $x^2$ + $x^2$

$x^{3}$+$x^2$+$x^2$-$5x-6$=0

$x^2$$\left ( x+1\right )$+$x^2$-5x-6=0

$x^2$$\left ( x+1\right )$+$x^2$-6x+x-6=0

$x^2$$\left ( x+1\right )$+$\left (x-6 \right )$$\left ( x+1\right )$=0

$\left ( x+1\right )$$\left ( x^2+x-6\right )$=0

$\left ( x+1\right )$$\left ( x^2+3x-2x-6\right )$=0

$\left ( x+1\right )$$\left ( x+3\right )$$\left ( x-2\right )$=0