Question 468916: Use the Rational Zero theorem. First find the potential zeros from the factors of p and the factors of q, then test then by the synthetic division or the polynomial division.
Section 4.5 #60 In Problems 57–68, solve each equation in the real number system 2x3 – 3x2 – 3x – 5 = 0
Can someone please help me with this problem? thank you. I answered it on my on and I got it wrong.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Use the Rational Zero theorem. First find the potential zeros from the factors of p and the factors of q, then test then by the synthetic division or the polynomial division.
Solve each equation in the real number system 2x3 – 3x2 – 3x – 5 = 0 .
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factors of p=5: ±1, ±5
factors of q=2: ±1, ±2
possible rational roots(p/q):±1, ±1/2, ±5/2
Finding real number roots using synthetic division:
0).......2...-3...-3...-5
1).......2...-1...-4...-5
1/2)...2...-2...-4...-3
5/2)...2.....2.....2... 0 (root)
P(x)=(x-5/2)(2x^2+2x+2)
2x^2+2x+2=0
x^2+x+1=0
x=[-1±sqrt(1-4*1*1)]/2*1
x=(-1±√-3)/2
Given function has one real root,x=5/2, and two imaginary roots, x=(-1±√-3)/2
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