SOLUTION: how do i find the other zeros of f(x) = 2x^3 +11x^2 +9x +2; given that one zero is -1/2

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Question 573466: how do i find the other zeros of f(x) = 2x^3 +11x^2 +9x +2; given that one zero is -1/2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how do i find the other zeros of f(x) = 2x^3 +11x^2 +9x +2; given that one zero is -1/2
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Using synthetic division:
..-1/2..|..2....11....9....2
................-1...-5...-2
...........2....10....4....0
f(x)=(2x+1)(2x^2+10x+4)
2x^2+10x+4=0
x^2+5x+2
By quadratic formula:
zeros=-4.56 and -0.44
The 3 zeros of f(x) are -1/2,-4.56 and -0.44
..
Note: instead of synthetic division you could have found the zeros by using long division. Divide f(x) by (2x+1) to get the second degree equation.