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Which of the following theorems states that : “If the polynomial P(x) = anxn + an–1xn–1 + an–2xn–2 +…

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Question

Which of the following theorems states that : “If the polynomial P(x) = anxn + an–1xn–1 + an–2xn–2 + … + a1x + a0 has integer coefficients, then every rational zero of P has the form p/q, where p and q have no common factors other than 1, p is a factor of the constant term a 0 and q is a factor of the leading coefficient a n.”

a.
Descartes’ Rule of Signs

b.
Rational Root Theorem

c.
Intermediate Value Theorem

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d.
Fundamental Theorem of Algebra

Answer #1 for Questions: Which of the following theorems states that : “If the polynomial P(x) = anxn + an–1xn–1 + an–2xn–2 + … + a1x + a0 has integer coefficients, then every rational zero of P has the form p/q, where p and q have no common factors other than 1, p is a factor of the constant term a 0 and q is a factor of the leading coefficient a n.”

a.
Descartes’ Rule of Signs

b.
Rational Root Theorem

c.
Intermediate Value Theorem

d.
Fundamental Theorem of Algebra

Answer:

A. Descartes’Rule of Signs

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