A polynomial, p(x)=3x^4+Bx^3+Cx^2+x-2, has real coefficients. a. Show that P(x) has at least one positive and one negative real zero. b. Given that one of the zeros of P(x) is -4/3, what can we say for certain about B(the x^3 coefficient) and C (the x^2 coefficient?
A polynomial, p(x)=3x^4+Bx^3+Cx^2+x-2, has real coefficients. a. Show that P(x) has at least one positive and one negative real zero. b. Given that one of the zeros of P(x) is -4/3, what can we say for certain about B(the x^3 coefficient) and C (the x^2 coefficient?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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6. A polynomial, p(x)=3x^4+Bx^3+Cx^2+x-2, has real coefficients.
a. Show that P(x) has at least one positive and one negative real zero.
b. Given that one of the zeros of P(x) is -4/3, what can we say for certain about B(the x^3 coefficient) and C (the x^2 coefficient?
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