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

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