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Toss two fair dice, and let A, B e {1,2,3,4, 5, 6} be the outcomes, and consider the quadratic polynomial p(x) = x² + Ax + B. (i) What is the probability that p admits complex roots? (ii) What is the probability that (iii) Given that one of the outcomes is 3, what is the probability that p admits complex admits common roots (i.e,. two equal roots)? roots?

Toss two fair dice, and let A, B e {1,2,3,4, 5, 6} be the outcomes, and consider the quadratic polynomial p(x) = x² + Ax + B. (i) What is the probability that p admits complex roots? (ii) What is the probability that (iii) Given that one of the outcomes is 3, what is the probability that p admits complex admits common roots (i.e,. two equal roots)? roots?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 21RE
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Toss two fair dice, and let A, Be {1,2,3,4, 5, 6} be the outcomes, and consider the quadratic polynomial p(x) = x² + Ax + B. (i) What is the probability that p admits complex roots? (ii) What is the probability that p admits common roots (i.e,. two equal roots)? (iii) Given that one of the outcomes is 3, what is the probability that p admits complex roots?
Transcribed Image Text:Toss two fair dice, and let A, Be {1,2,3,4, 5, 6} be the outcomes, and consider the quadratic polynomial p(x) = x² + Ax + B. (i) What is the probability that p admits complex roots? (ii) What is the probability that p admits common roots (i.e,. two equal roots)? (iii) Given that one of the outcomes is 3, what is the probability that p admits complex roots?
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