Definitions
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Multiplying Binomials
y-intercept
Solving Quadratics
Even more Random Polynomials
Trivia
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
3(3x)
9x
100
(x + 6) (x + 3)
x2 +9x +18
100
y=2x-3
-3
100
Solve by factoring:
(x + 3)(x - 1) = 0
x = -3 or x = 1
100
The degree of this polynomial:
x3 - 7x2 + 4x5 - 19x7
7
100
This is the most consumed food in the world.
Rice
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
Multiply the Polynomials:
(3x)(2y)
6xy
200
(3x - 4)(2x + 5)
6x2 + 7x - 20
200
y=9-x^2
9
200
Solve by factoring:
(2x + 3)(x - 5) = 0
x = -3/2 or x = 5
200
Classify by its degree and number of terms:
10x
Linear Monomial
200
This city is the host of the 2024 Olympic games.
Paris
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
Multiply the Polynomials:
3x2 (2x4 + 4)
6x6 + 12x2
300
(x - 8)(2x + 3)
2x2 - 13x - 24
300
-4
300
Solve by factoring:
x2 - x - 20 =0
x = -4 and x = 5
300
A constant polynomial has a degree of this.
0
300
DAILY DOUBLE
This company has the slogan: "Let's go places."
Toyota
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
4x(x-2)^2
4x^3-16x^2+16x
400
(y + 9) (y + 9)
y2 + 18y + 81
400
-2x^3+3x^2-4x+5
5
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
This is the highest possible score one can get in a round of darts.
180
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
(2x-3y+6)(3y)
6xy-9y2+18y
500
(x - 12)(x + 12)
x2 - 144
500
y=-2(x-4)(x-1)^2
8
500
Solve by factoring:
5x2 - x = 4
x = -4/5 and x = 1
500
Refers to the highest exponent in a polynomial, or the exponent on a specific term
Degree
500
This toy was the first to be advertised on television.
Mr. Potato Head