Vocabulary
Exponent Rules
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
100

The number of terms in a trinomial.

What is three?

100
Simplify: (3x2)(-2x3)
-6x5
100
(x+5)+(3x+9)
4x + 14
100
(7x+4)-(5x+8)
2x-4
100
(3x+1)(2x+3)
6x2+12x+3
200

The degree of this polynomial 2x4+9x3-5x2+6

What is 4?
200

(4r2)(2r5)

8r7

200
(3x2+4x)+(2x2-3x)
5x2+x
200
(6x2+4)-(3x2+5)
3x2-1
200

(2x-5)(2x+5)

4x2-25

300

The number of terms in the polynomial 4y5+6xy-3x2

What is 3

300

(-4t2n3)(3tn4)

-12t3n7

300
(-4x2+2x-3)+(5x2-4x+8)
x2-2x+5
300
(2x-4)-2(4x-2)
-6x
300
(2x-4)(3x2-6x+1)
6x3-24x2+26x-4
400

The leading coefficient to the polynomial 3x2+5x+2x3+7

What is 2?

400

Simplify:

r6n-7 / r4n2

r2 / n9
400
(8x2-4x+3)+(7x2+2x-11)
15x2-2x-8
400
(6x2-5x+8)-(4x2-7x+9)
2x2+2x-1
400
(2x2-4x+6)(x2+5x-2)
2x4+6x3-18x2+38x-12
500

The two things 'like terms' must have.

What are the same variables and the same exponents?

500

-12t-1u5x-4  /   2t-3ux5

-6t2u4 / x9

500
(5x3+4x2-2x+2)+2(2x3-2x2+x+5)
9x3+12
500
(6x3+4x2-4x+5)-2(2x3-3x2+5x-5)
2x3+10x2-14x+15
500

Ms. Waters wants to know how many desks can fit in her classroom next year. The length of her classroom is x+5 ft and the width of her classroom is x-4 ft. What is the area of her classroom?

x2+x-20 square ft