Degree and Types of Polynomials
Adding or Subtracting Polynomials
Multiplying Polynomials
Factor
Grab Bag (Anything Goes)
100

4y + 7

What is a linear binomial 

100

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

7x + 6

100

5x4y (2xy + 10x3y4 – 6x2y2 + 12)

10x5y2 + 50x7y5 – 30x6y3 + 60x4y

100

7x2y3 + 21x4y2 – 14xy

7xy (xy+ 3x3y – 2)

100

Name one thing that can be part of a polynomial.

What are negative exponents on variables

What is Division by x

What are Square roots on variables

200

3x2

What is a quadratic monomial

200

(6x-7) + (4x+5)

10x-2

200

(x-7)(x+2)

x2-5x-14

200

x2 – 18x + 81

(x – 9) (x – 9)

200

The standard form of (x + 1)(x + 1)

x2+2x+1

300

4x3 + 5x2 + 6x

What is a cubic trinomial

300

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

-3x2 -2x +9

300

(2x+4)(x-8)

2x2-12x-32

300

x+ 7x – 8

(x + 8)(x – 1)

300

The GCF of 64x2y5+32x3y3+88xy4

8xy3

400

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

What is a trinomial? Or quadratic trinomial.

400

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

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

400

(x-4)2

x2-8x+16

400

x– 2x – 24

(x – 6)(x + 4)

400

The leading coefficient of 5x – 3x3 + x4

1

500

This type of polynomial is the result of the following product: 2x2 (3x3 + 9x2 – 3x + 5)

 

What is a fifth degree polynomial?

500

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

4x3 + x2 – 3x + 1

500

DAILY DOUBLE (this one is HARD!) (2x3+3)(3x2 − 4x + 7)

6x5 − 8x4 + 14x3 + 9x2 − 12x + 21

500

x2 – 11x + 30

(x – 6)(x – 5)

500

Multiply (Remember order of operations):

(x + 1)(7x3 + 8x– 10x + 1)

7x4 + 15x– 2x2 – 9x + 1

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