Vocabulary of Polynomials
Adding or Subtracting Polynomials
Factor
Multiplying Polynomials
Grab Bag (Anything Goes)
100

The  7 in 3x2 - 8x + 7

What is a constant?

100

(3x+5) + (4x+1)

7x + 6

100

x2 + 12x + 20

(x + 10) (x + 2)

100

9x(x+3)

9x2 + 27x

100

These numbers are typically superscripts of variables

What are  exponents?

200

3x + 8

What is a binomial?

200

(6x-7) - (14x+5)

-8x -12

200

x2 - 81

(x - 9) (x + 9)

200

(x-7)(x+2)

x2-5x-14

200

The general case of (x + y)(x + y)

x2+2xy+y2

300

In the polynomial 4x2 + 5x + 6, 

the 4 and 5 are...

What are coefficients?

300

(5x2-4x+7) - (8x2 -2x-2)

-3x2 -2x +9

300

6x2-x-35

(3x+7)(2x-5)

300

(2x+4)(x-8)

2x2-12x-32

300

The GCF of 64x2y5+32x3y3+88xy4

8xy3(8xy2+4x2+11y)

400

We get this type of polynomial when we multiply (x+6)(x-8).

What is a trinomial?

400

(5x3+4x+7-x2) - (2x-6x2+x4)

-x4+5x3+5x2+2x+7

400

3x2-18x+27

3(x-3)(x-3)

400

(3x-4)2

9x- 24x+16

400

(a+3)2-(6x+9)

a2

500

This type of polynomial is the result of the following product: (x+2)(x-2)

What is a difference of squares?

500

(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)

4x3 + x2 – 3x + 1

500

12x2 + 17x + 6

(4x+3)(3x+2)

500

DAILY DOUBLE  (2x3+3)(3x2 − 4x + 7)

6x5 − 8x4 + 14x3 + 9x2 − 12x + 21

500

Simplify and multiply (Remember order of operations):

(7x3 +8x2-10x3+9x+3x3-3x-6x2)(x+1)

2x3+8x2+6x

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