Definitions
Adding Polynomials
Subtracting Polynomials
Multiplying Binomials
y-intercept
Remainders
Solving Quadratics
Random Polynomial Math
Even more Random Polynomials
Applications
End Behavior
100
What is a number or variable in a polynomial that is separated by an addition or subtraction sign
a term
100
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
100
Subtract the polynomials:
(g - 4) - (3g - 6)
-2g + 2
100
(x + 6) (x + 3)
x2 +9x +18
100
-2x^3+3x^2-4x+5
5
100
DAILY DOUBLE
The remainder is:
(4x^3+7x^2+3x+10)/(x+2)
0
100
Solve by factoring:
(x + 3)(x - 1) = 0
x = -3 or x = 1
100
The zeros of a function represent these of a graph.
x-intercepts
100
The degree of this polynomial:
x3 - 7x2 + 4x5 - 19x7
7
100
Find the area of a room that is (3x - 5) ft by (2x + 1) ft.
6x2 - 7x - 5 ft2
100
What two pieces of information do you need to determine end behavior?
Leading coefficient and degree
200
DAILY DOUBLE
The number before a variable within a term is called the...
Coefficient
200
Add the polynomials:
(-3a - 2) + (7a + 5)
4a + 3
200
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
200
(3x - 4)(2x + 5)
6x2 + 7x - 20
200
y=2x-3
-3
200
(4x^3+7x^2+3x+10)/(x-1)
24
200
Solve by factoring:
(2x + 3)(x - 5) = 0
x = -3/2 or x = 5
200
What is the GCF of the following:
- 3x2 - 3x - 60
-3 or 3
200
Classify by its degree and number of terms:
10x
Linear Monomial
200
DAILY DOUBLE
What are the dimensions of a rectangular prism with a volume of 15x3+ 52x2+ 32x?
(x)(5x + 4)(3x + 8)
200
End behavior of 4-3x6
Right down, left down
x->inf, y-> -inf
x-> -inf, y-> -inf
300
The number in front of the term with the highest exponent.
Leading Coefficient
300
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
300
Subtract the polynomials:
(-x2 - 5) - (-3x2 -x -8)
2x2 + x +3
300
(x - 8)(2x + 3)
2x2 - 13x - 24
300
-4
300
(-x^3+2x+3)/(x+1)
2
300
Solve by factoring:
x2 - x - 20 =0
x = -4 and x = 5
300
Factor completely.
x3 + 4x2 + 6x + 24
(x2 + 6)(x + 4)
300
A constant polynomial has a degree of this.
0
300
What are the dimensions of a rectangular prism with a volume of 18x3+ 84x2+ 48x?
(6d)(3d + 2)(d + 4)
300
End behavior of 6x6+12x2
Right up, left up
x->inf, y->inf
x-> -inf, y-> inf
400
The highest exponent on the variables in a term
Degree of the term
400
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
400
(y + 9) (y + 9)
y2 + 18y + 81
400
y=9-x^2
9
400
(-5x^2+x^3+8x+4)/(-1+x)
-10
400
Solve by factoring:
x2 - 4 = 3x
x = 4 and x = -1
400
Find the area of a rectangle with a width of 3x + 5 and a length of 3x2 + 6x - 10.
9x3 + 33x2 - 50
400
Rewrite this polynomial in standard form
-6a4 + 10a3 + 14a7 - 22a2 + 33
14a7 - 6a4 + 10a3 -22a2 +33
400
A storage bin in the shape of a rectangular prism has a volume of 10x3+ 9x2+ 2x. What linear expressions can represent possible dimensions of the bin?
x, 5x + 2, 2x + 1
400
The end behavior of
4x^3-16x^2+16x
Right up, left down
x->inf, y->inf
x-> -inf, y-> -inf
500
Terms that have the same variables and the same degree are....
Like terms
500
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
500
Subtract the Polynomials:
(2x2 - 3x) - (x2 -2x + 4)
x2 + x - 4
500
(x - 12)(x + 12)
x2 - 144
500
y=-2(x-4)(x-1)^2
8
500
(x^3+2x^2-5x+3)/(x^2+4)
3x+3
500
Solve by factoring:
5x2 - x = 4
x = -4/5 and x = 1
500
Factor completely.
32x3 - 40x2 + 64x - 80
8(x2 + 2)(4x - 5)
500
Refers to the highest exponent in a polynomial, or the exponent on a specific term
Degree
500
What are the dimensions of a rectangular prism with a volume of 32x3+ 224x2+ 360x?
(8x)(2x - 5)(2x - 9)
500
The end behavior of 3x3+5x5-6x
Right up, left down
x -> inf, y->inf
x-> -inf, y->-inf