COMBINING LIKE TERMS
ADDING POLYNOMIALS
SUBTRACTING POLYNOMIALS
MULTIPLYING POLYNOMIALS
POLYNOMIAL VOCABULARY
100


4x + 5x - 2 + 3


9x + 1

100

(2x + 1) + (9x + 3)

11x + 4

100

(9x + 5) - (7x + 1)

2x + 4

100

2 (x + 4)

2x + 8

100
This is known as the "number in front of the letter" in a polynomial.

What is the coefficient.

200


-2x2 + 5x - 5x2 + 3x - 9 - 1

-7x2 + 8x -10


200

(3x2+5x-3) + (5x2-2x+1)

8x2 + 3x - 2

200

(2x2-4x+4) - (3x2-8x+6)

-x2 + 4x -2

200

2(-5x + 3)

-10x + 6

200

A polynomial with three terms is known as this.

What is a trinomial.

300


9 + 2y + 5x - 2y -10 +6y2


6y2 + 5x - 1

300

(-6x2-5x+4) + (-2x2-2x-6)

-8x2 - 7x -2

300

(x2+x-1) - (-x2-x-1)

2x2 + 2x + 2

300

2x2y3 (-3x2yz)

-6x4y4z

300

A term in a polynomial that includes only a number and not a variable is called this. 

What is a constant.

400

-2x2 - 4x - y + x + x2 + 5y

- x2 - 3x + 4y

400

(x+x2-3) + (-x2-x+9)

6

400

(x+2x2-5) - (-5x2+x-9)

7x2 + 4

400

-7x( 3x2 + 5x +9)

-21x3 - 35x2 - 63x

400

Terms that have the same variables raised to the same exponents are called this. 

What are like terms.

500

3x2y + 1 - y - 4x2y - 8y + 1

-x2y  - 9y + 2

500

(7x2+5+4x) + (-x2-8x-5)

6x2 - 4x 

500

(-x+5x2-2) - (5-2x+2x2)

3x2 +x - 7

500

-5x2y (-3x3y - y +7)

15x5y2 + 5x2y2 - 35x2y

500

When subtracting polynomials you need to remember to do this to the terms in the second bracket. 

What is change their signs.