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If {a} and {b} are randomly chosen from the set {{1},{2},{3},{

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If $a$ and $b$ are randomly chosen from the set ${1, 2, 3, 4, 5, 6, 7, 8, 9}$ , then the probability that the expression $a x^{4} + b x^{3} + (a + 1) x^{2} + b x + 1$ has positive values for all real values of $x$ is

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Lucas Discussed

a

and

b

are randomly chosen from the set

{1, 2, 3, 4, 5, 6, 7, 8, 9}

, then the probability that the expression

a x^{4} + b x^{3} + (a + 1) x^{2} + b x + 1

has positive values for all real values of

x

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Question Text

a

and

b

are randomly chosen from the set

{1, 2, 3, 4, 5, 6, 7, 8, 9}

, then the probability that the expression

a x^{4} + b x^{3} + (a + 1) x^{2} + b x + 1

has positive values for all real values of

x

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