Vocabulary
Operations with Polynomials
Polynomial
Functions & Graphs
Functions & Graphs
Factoring Polynomials
Roots/Zeros
& Rational Zero Theorem
& Rational Zero Theorem
100
The coefficient of the first term of a polynomial in standard form
Leading Coefficient
100
Simplify (2x^2-2x+3)-(x^2-4x-1)
x^2+2x+4
100
State the degree and Leading Coefficient x^2-3x+4x^5-2
Degree = 5 ; Leading Coefficient = 4
100
What is the GCF of the Polynomial f(x)=6x^3+2x^2-4x
GCF=2x
100
Is (x+5) a factor of 3x^3+20x^2+23x-10
yes
200
A polynomial that cannot be factored
Prime Polynomial
200
4b(5a-3b)
20ab-12b^2
200
how many zeros does the graph have?
4 Zeros
200
Factor the function x^2-5x+6
(x-2)(x-3)
200
state the p/q values of 3x^2+7x-4
p/q=+-(1/3,2/3,1,4/3,2,4)
300
The direction in which your graph is headed as the x values go to the right or left
End behaviors
300
(3x^2)^3
27x^6
300
how many relative minimum does the graph have?
2
300
factor: 3x^2+10x-8
(3x-2)(x+4)
300
State the number of possible positive and negative real zeros of the function f(x)=3x^5-2x^4-7x^3+x^2-9x-8
Positive real zeros: 3 or 1
Negative real zeros: 2 or 0
400
Another name for the quotient polynomial of synthetic division
Depressed Polynomial
400
(16x^4y^2)/((2xy^2)^3
(2x)/y^4
400
State the intervals where the zeros of the function fall
[-2,-1],[0,1],[1,2]
400
Factor: 6ay+4by-2cy+3za+2bz-cz
(2y+z)(3a+2b-c)
400
If x-5 is one of the factors of f(x)=x^3+2x^2-23x-60 find the remaining factors
(x+3)(x+4)
500
A polynomial in the form au^2+bu+c
Quadratic Form
500
(a+b)(a^2-3ab+2b^2)
a^3-2a^2b-ab^2+2b^3
500
Find f(x+2) for the function f(x)=x^2-x
x^2+3x+2
500
Factor Completely 8x^3+64
(2x+4)(4x^2-8x+16)
500
find all of the zeros of f(x)=4x^3+4x^2-x-1
x=-1,-1/2,1/2