Question

For the polynomial below, -2 is a zero.

h(x)=x^3+4x^2-10x-4
Express h(x) as a product of linear functions

Answer 1

Explanation:

please note -2 is not a zero ,it should be 2 is a zero.

by synthetic division

2| 1 4 -10 -4

| 2 12 4

|----------------

1 6 2 | 0

x²+6x+2=0

`x=(-6 \pm √(36-8) )/(2) \\or~x=(-6 \pm2√(7) )/(2) \\or ~x=-3\pm √(7) \\h(x)=(x-2)(x^2+6x+2)=(x-2)(x-3+√(7) )(x-3-√(7))`