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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
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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