SOLUTION: Please help me solve this question:
1. Use the Rational Theorem and synthetic division to find all rational zeros of the function,
f(x)=2x^3-9x^2-6x+5
Factor f(x) into li
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Question 522292: Please help me solve this question:
1. Use the Rational Theorem and synthetic division to find all rational zeros of the function,
f(x)=2x^3-9x^2-6x+5
Factor f(x) into linear factors.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
1. Use the Rational Theorem and synthetic division to find all rational zeros of the function,
f(x)=2x^3-9x^2-6x+5
Factor f(x) into linear factors.
**
Rational Roots Theorem:
...0...|....2......-9.......-6........ 5........
...1...|....2......-7.......-13.....-8........
...2...|....2......-5.......-16.....-27......
...3...|....2......-3.......-15.....-40......
...4...|....2......-1.......-10.....-35......
...5...|....2........1........-1.........0.......5 is a root
f(x)=(x-5)(2x^2+x-1)
f(x)=(x-5)(2x-1)(x+1)
Zeros:
x=5
x=1/2
x=-1
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