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9 Cards in this Set

  • Front
  • Back

Zero Product Property

If a+b= 0 a= 0 b = 0 c=0


0= 2x (x+3)(x+2)=0


×=0 × =-3 ×=-2


Factor Theorem

If a is a zero then (x-a) is a factor.


If (×-a) is a zero then a is a zero

Theroem 2 Remainder Theorem

If p(x) is divided by (x-a) then p(a) is the remainder


Corollaray

If x-a is a factor of p(x) then p(a) = 0


P/q

#3 Rational root theorem

For a polynomial p(x) with integer coefficients, yhen any rational

#4 Descartes Rule of Signs

The # of positive real zeros of a polynomial p(×) is equal to the number of sign changes of the term of p(x) OR is less than this by an even number


Pt2 number of p(x) is equalbto tue number of sugn changes of the term p(-x) OR is less than this by a even number.

#5 Fundamenta theorem

P(x) is a polynomial of a degree n greater than , than p(x) at least one solutiin with complex numbers



6 imaginary Root Theorem

If p(x) has real corfficiebys then if a+bi is a zero do is a-bi

Irrational root theorem

If p x has a ational corfffxients then if a + {b a- [b