Definitions
Add or Subtract
Multiplying Polynomials
DIVISION
x intercepts
Random Polynomial Math
Applications
100
the constant in a polynomial has no what?
variable or x term
100
Add the Polynomials
(4x + 9) +(x - 4)
5x + 5
100
3(3x)
9x
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
Find the area of a room that is (3x - 5) ft by (2x + 1) ft.
6x2 - 7x - 5 ft2
200
DAILY DOUBLE
The number before a variable within a term is called the...
Coefficient
200
Subtract the polynomials:
(-5h - 2) - (7h +6)
-12h - 8
200
(3x - 4)(2x + 5)
6x2 + 7x - 20
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
The degree of this polynomial:
x3 - 7x2 + 4x5 - 19x7
7
200
DAILY DOUBLE
What are the dimensions of a rectangular prism with a volume of 15x3+ 52x2+ 32x?
(x)(5x + 4)(3x + 8)
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
Multiply the Polynomials:
3x2 (2x4 + 4)
6x6 + 12x2
300
(-x^3+2x+3)/(x+1)
2
300
Solve by factoring:
x2 - x - 20 =0
x = -4 and x = 5
300
Sketch this polynomial
(x-3)(x+2)(x+4)
300
What are the dimensions of a rectangular prism with a volume of 18x3+ 84x2+ 48x?
(6d)(3d + 2)(d + 4)
400
Refers to the highest exponent in a polynomial, or the exponent on a specific term
Degree
400
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
400
4x(x-2)^2
4x^3-16x^2+16x
400
(-5x^2+x^3+8x+4)/(-1+x)
-10
400
Solve by factoring:
x2 - 4 = 3x
x = 4 and x = -1
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
500
Polynomials can be written in two forms, what are they?
Factor form and standard form
500
Add the polynomials:
(-1 + x2 + 2x) + (1 -2x + 2x2)
3x2
500
(2x-3y+6)(3y)
6xy-9y2+18y
500
(x^3+2x^2-5x+3)/(x^2+4)
3x+3
500
The zeros of a function represent these of a graph.
x-intercepts
500
Sketch this polynomial
Roots: -3, 2, 2, 5
Lead Coefficient: 1
Y intercept: -2
500
What are the dimensions of a rectangular prism with a volume of 32x3+ 224x2+ 360x?
(8x)(2x - 5)(2x - 9)