Question 592325: Given the polynomial function f(x),find the rational zeros,then the other zeros(that is,solve the equation f(x)=0),and factor f(x) into linear factors.
F(x)=x^4+9x^3+17x^2-9x-18
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Given the polynomial function f(x),find the rational zeros,then the other zeros(that is,solve the equation f(x)=0),and factor f(x) into linear factors.
F(x)=x^4+9x^3+17x^2-9x-18
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Using Rational Roots Theorem:
....0...|......1......9......17......-9......-18
....1...|......1.....10.....27......18........0 (1 is a zero)
....2...|......1.....11.....37......65......112 (2 is upper bound)
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....0...|......1.....10.....27......18
..-1...|......1.....9.......18......0 (-1 is a zero)
F(x)=(x-1)(x+1)(x^2+9x+18)
F(x)=(x-1)(x+1)(x+6)(x+3)
zeros are: -6, -3, -1, and 1
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