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Characteristics of Polynomials
Adding Polynomials
Subtracting Polynomials
Adding Polynomials 2
Subtracting Polynomials 2
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 product: (x-3)(x+7)
What is x
2
+4x-21
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
Find the product: (x-7)(x-6)
What is x
2
-13x+42
300
Writing the terms of a polynomial from the term with the highest exponent to the term with the lowest exponent
What is standard form
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
Find the product: (2x-3)(3x+4)
What is 6x
2
-x-12
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
Find the product: (5x-2)(2x-1)
What is 10x
2
-9x+2
500
The reason why we change subtraction problems to addition is this
it ensures that the negative is taken into account in all terms following the subtraction sign
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
The product of these two expressions is: x
2
-16x+64
What is (x-8)(x-8)