Question 949388: Use the given factors of the polynomial to find the remaining factors, and then find the zeros.
x+1 and x-2: h(x)=x^4-5x^3+5x^2+5x-6
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Use the given factors of the polynomial to find the remaining factors, and then find the zeros.
x+1 and x-2: h(x)=x^4-5x^3+5x^2+5x-6
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use synthetic division:
...2...|....1....-5.....5.....5....-6
...2...|...........2....-6....-2....6
...2...|....1....-3....-1....3.....0..
..-1...|..........-1....4....-3
..-1...|....1....-4....3.....0
h(x)=(x-2)(x+1)(x^2-4+3)
h(x)=(x-2)(x+1)(x-3)(x+1)
zeros are: -1, -1, 2, 3
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