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Factoring Polynomials
Multiplying Polynomials
Vocabulary/ Concepts
+ing & -ing Polynomials
Potpourri (Random Math)
100
Factor 2x - 12
2(x - 6)
100
Use any method to multiply 3x(2x + 2)
6x^2 + 6x
100
What are like terms? (there are 2 main characteristics of like terms)
Terms that have the same variable and exponent
100
Simplify 2x^2 + 2x + (3x^2 + 2)
5x^2 + 2x + 2
100
Simplify (x - 2)^4
(x^4) + 16
200
Factor x^2 + 6x
x(x + 6)
200
Use box method to multiply (2x -3)(x+1)
2x^2 - x - 3
200
What is the degree of a monomial?
The sum of all the exponents of the variables
200
8x - (3x + 7)
5x - 7
200
Convert 3y - 2x = 12 into Slope Intercept Form
y = 2/3x + 4
300
Use box method to factor x^2 + 5x + 6
(x+2)(x+3)
300
Multiply (3x + 23) and (2x + 17)
6x^2 + 97x + 391
300
Simplify (x^3 - 4x^2 + 10x + 15) - (2x^3 - 3x^2 - 2x - 4)
x^3 - x^2 + 12x + 19
300
Find the solution for x when 3(8x - 1) = 6(4x - 2)
No Solution
400
Factor x^2 - 36
(x+6)(x-6)
400
Multiply 2x^2(3x^2 - 4x + 2)
6x^4 - 8x^3 + 4x^2
400
When using box method, how are boxes 1 & 4 similar to boxes 2 & 3?
The product of the coefficients of boxes 1 & 4 is equal to the coefficients of boxes 2 & 3
400
-4x^2(10x + 15) + 3x^2 - 2x - 4
-40x^3 - 57x^2 - 2x - 4
400
A function in which the x-value has an exponent of one (for instance, y = 5x), is known as a __________ function. (Think of a graph and the shape that is made on the graph)
Linear
500
Factor the polynomial 3x^2 + 8x + 4
(3x+2)(x+6)
500
What is the volume of a prism where the area of its base is x^2 + 5x + 4 inches squared and a height of (x + 3) inches.
x^3 + 8x^2 + 19x + 12 inches cubed
500
What is a polynomial?
An expression consisting of variables and coefficients which only employs the operations of addition, subtraction, multiplication, and non-negative integer exponents
500
Simplify (2x+15)(x-2) + (3x^2 -2x-4)
5x^2 + 9x - 34
500
TRICKY!! Use any combination of the 4 mathematical operations (addition, subtraction, multiplication, division)to get 24 using the numbers 8, 1, 3, 12, 4
((8 * (1 + 3)) - 12) + 4