Definitions
What is D(x) called?
the divisor
What is the quotient of 3x2-7x-26 divided by x-4? (Look in notes)
Q(x)=3x+5
Fill in the blank: synthetic division is important because of the ____ _____ (Look in notes)
remainder theorem
What is P(x) called?
the dividend
What is the remainder of 3x2-7x-26 divided by x-4? (Look in notes)
R(x)=-6
P(x) = x2-2x-15 divided by x+3 is x-5. What is P(-3)?
0
Fill in the blank: If a polynomial P(x) is divided by x-c, the remainder is ____
P(c) (This is the remainder theorem)
True or False: the degree of R(x) is greater than the degree of D(x).
False: the degree of R(x) is less than the degree of D(x)
Fill in the blank: c is a zero of P(x) if and only if x-c is a ____ of P(x)
factor
What does the Factor Theorem state?
c is a zero of P(x) if and only if x-c is a factor of P(x)
True or False: the quotient can be a rational function.
False: it is a polynomial
Why does the remainder theorem work?
Explain.