Show:
Questions
Responses
Print
Characteristics of Polynomials
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Multiplying Polynomials
100
Four or more monomials
Polynomial
100
Find the sum: (3x+4)+(7x+2)
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)
x
2
+6x+8
100
Find the product: (x-3)(x+7)
x
2
+4x-21
200
The highest exponent in a polynomial
Degree
200
Find the sum: (2x
2
+8x+4)+(x
2
-3x-2)
3x
2
+5x+2
200
Find the difference: (5x
2
-4x-7)-(2x-9)
5x
2
-6x+2
200
Find the product: (x+3)(x-2)
x
2
+x-6
200
Find the product: (x-7)(x-6)
x
2
-13x+42
300
A polynomial with three terms.
Trinomial
300
Find the sum: (4x
2
+5x+1)+(-2x
2
+7)
2x
2
+5x+8
300
Find the difference: (4x
2
+6x+3)-(2x
2
+2x+2)
2x
2
+4x+1
300
Find the product: (2x-6)(3x-2)
6x
2
-22x+12
300
Find the product: (2x-3)(3x+4)
6x
2
-x-12
400
The only way to add or subtract polynomials is to combine these
Like terms
400
Find the sum: (12x
3
+4x
2
+7x+8)+(2x
3
-5x
2
+2x-10)
14x
3
-x
2
+9x-2
400
Find the difference: (7x
2
-2x+6)-(2x
2
-5x+4)
5x
2
+3x+2
400
Find the product: (4x+2)(x+5)
4x
2
+22x+10
400
Find the product: (5x-2)(2x-1)
10x
2
-9x+2
500
The property needed to multiply polynomials.
Distributive Property
500
Find the sum: (5x
4
+3x
3
-x
2
+2x+4)+(x
4
-6x
3
-2x
2
+6x+7)
6x
4
-3x
3
-3x
2
+8x+11
500
Find the difference: (2x
3
-3x
2
-3x+5)-(x
3
+2x
2
-4x+2)
x
3
-5x
2
+x+3
500
(x+7)(x-7)
x
2
-49
500
(x-8)(x-8)
x
2
-16x+64