Using the rational zeros theorem to find all zeros of a polynomial

label Algebra
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The function below has at least one rational zero.  Use this fact to find all zeros of the function

g(x)=5x⁴-28³-48x²-8x+7

if more than one zero, separate with commas.  Write exact values, not decimal approximations

Oct 17th, 2015

Thank you for the opportunity to help you with your question!

first term is 5 and its factors are 1 and 5

last term is 7 and its factors are 1 and 7

so +- (1,7)/(1,5) = +- 1/(1,5 ) , +- 7/(1/5)

+- (1,7)/(1,5) = +- 1/1 , +- 1/5, +- 7/1 , +- 7/5

+- (1,7)/(1,5) = +- 1 , +- 1/5, +- 7 , +- 7/5 are all possible rational zeros


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Oct 17th, 2015

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