Long Division and Synthetic division
3 term polynomial
trinomial
T or F Long division of polynomials is similar to long division of whole numbers.
True
n = 0
Constant
N = 3
Cubic
How do we write the result?
Divident/divisor = quotient + remainder/divisor
N = 1
Linear
What is the first thing we must see when dividing polynomials?
Make sure each term is represented
A ___ is a sum or difference of terms. Polynomials have special names based on their ___ and the number of ___they have.
Polynomial Degree Terms
N = 2
Quadratic
N = 4
Quartic
N = 5
Quintic
The graph of a polynomial has to be ___ and ___
Smooth, continuous
Use ___ ___ when a polynomial of degree 1 or higher is divided by x-c .
Synthetic Division
A trick for dividing polynomials
Synthetic division
Helps us solve for the roots of polynomials
Synthetic division
Only works when we divide by 1st degree (linear) polynomials
Synthetic division
T or F If the divisor isn
True
Can only be used when the divisor is in the form
X-c
2 term polynomial
binomial
When you divide the polynomial by one of the binomial factors , the quotient is called a ___ ___ .
depressed equation
How do we check when dividing polynomials
dividend = (quotient • divisor) + remainder
If a polynomial f(x) is divided by x-a, the remainder is the constant ___ , and Dividend=quotient *divisor +remainder
f(a)
1 term polynomial
monomial