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Characteristics of Polynomials
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Factoring and Solving Equations
100
The sum or difference of two or more monomials
What is a polynomial
100
Find the sum: (3x+4)+(7x+2)
What is 10x+6
100
Find the difference: (6x
2
+2x+4)-(3x
2
+x+2)
What is 3x
2
+x+2
100
Find the product: (x+2)(x+4)
What is x
2
+6x+8
100
Find the GCF of 12x
5
and 18x
3
What is 6x
3
200
The highest exponent in a polynomial
What is the degree of a polynomial
200
Find the sum: (2x
2
+8x+4)+(x
2
-3x-2)
What is 3x
2
+5x+2
200
Find the difference: (5x
2
-4x-7)-(2x-9)
What is 5x
2
-6x+2
200
Find the product: (x+3)(x-2)
What is x
2
+x-6
200
Factor: 4x
6
y + 2x
3
y
4
What is 2x
3
y(2x
3
+ y
3
)
300
A polynomial with three terms.
What is a trinomial
300
Find the sum: (4x
2
+5x+1)+(-2x
2
+7)
What is 2x
2
+5x+8
300
Find the difference: (4x
2
+6x+3)-(2x
2
+2x+2)
What is 2x
2
+4x+1
300
Find the product: (2x-6)(3x-2)
What is 6x
2
-22x+12
300
Solve: (2x-3)(3x+4)=0
What is x = 3/2 or x = -4/3
400
The only way to add or subtract polynomials is to combine these
What are like terms. Same variable, same exponent!
400
Find the sum: (12x
3
+4x
2
+7x+8)+(2x
3
-5x
2
+2x-10)
What is 14x
3
-x
2
+9x-2
400
Find the difference: (7x
2
-2x+6)-(2x
2
-5x+4)
What is 5x
2
+3x+2
400
Find the product: (4x+2)(x+5)
What is 4x
2
+22x+10
400
Solve: 2x
2
+ 4x = 0
What is x = 0 or x = -2
500
The property needed to multiply polynomials.
What is the Distributive Property?
500
Find the sum: (5x
4
+3x
3
-x
2
+2x+4)+(x
4
-6x
3
-2x
2
+6x+7)
What is 6x
4
-3x
3
-3x
2
+8x+11
500
Find the difference: (2x
3
-3x
2
-3x+5)-(x
3
+2x
2
-4x+2)
What is x
3
-5x
2
+x+3
500
The product of these two expressions is: x
2
-49
What is (x+7)(x-7)
500
Solve: 5x
2
= 15x
What is x = 0 or x = 3