SOLUTION: find all the rational zeros of the function g(t)=2t^4-3t^3+16t-24

SOLUTION: find all the rational zeros of the function g(t)=2t^4-3t^3+16t-24

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Question 203690This question is from textbook College Algebra
: find all the rational zeros of the function g(t)=2t^4-3t^3+16t-24 This question is from textbook College Algebra

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
factoring ___ t^3 * (2t - 3) + 8 * (2t - 3) ___ (t^3 + 8)(2t - 3)

factoring "sum of cubes" ___ g(t) = (t^2 - 2t + 4)(t + 2)(2t - 3)

roots of the quadratic are irrational

rational roots are -2 and 3/2
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