Question 86714: I am having trouble with this homeowrk question which is due tomorrow: find all the zeros of the function
a)x^3_2x^2-2x-3
b)f(x)=6x^4-13x^3+13x-6
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! find all the zeros of the function
a)x^3-2x^2-2x-3
I graphed it to find x=3 is a zero
Using synthetic divsion:
3)....1....-2....-2....-3
........1....1.....1..|..0
The quotient is x^2+x+1
Use the quadratic formula to find two complex zeroes:
x=[-1+-sqrt(1-4*!*!)]/2
x=[-1+-sqrt(-3)]/2
x=(-1+isqrt3)/2 or x=(-1-isqrt3)/2
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b)f(x)=6x^4-13x^3+13x-6
The coefficients add to zero so x=1 is a zero
1)....6....-13....0....13....-6
........6.....-7....-7....6..|..0
-1).......6,,,,,-13....6....|..0
Use the quadratic formula to find the zeroes
of 6x^2-13x+6
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Cheers,
stan H.
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