Definitions
Polynomial Types & degree
Adding Polynomials
Multiplying Monomial by a polynomial
Multiplying two polynomials
100

What is the definition of a monomial

A polynomial with one term

100

3x

Monomial First degree

100

(3x2 + 4x + 5) + (5x2 + 5x + 6)

Put in standard form

8x+ 9x + 11

100

3z(2z -7)

6z2-21z

100

(x - 7)(3x)

3x2 -21x

200

What is the definition of a binomial

A polynomial with 2 terms

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2xy^2

Monomial 3rd Degree

200

(x - 5x2 - 7) + (7x2 + 9x +3 + 2x3)

Put in Standard Form

2x3 + 2x2 + 10x - 4

200

6x(3x2 - 5x +3)

18x3 - 30x2 + 18x 

200

(x + 2)(x -3)

x- x - 6

300

What is the definition of a trinomial

A polynomial with 3 terms
300

3stvx + 2st

binomial 4th degree

300

(x - 5x2 - 7) - (7x2 + 9x +3 + 2x3)

-2x3 - 12x- 8x -10

300

4x2(9x4 - 7x +3x7)

12x9 +36x6 - 28x3

300

(3x+5x2)(3x + 5x2)

25x4+30x3 +9x2

400

What is the definition of a polynomial

a polynomial with 1 or more terms

400

6h^5 + 8 - 2ght^5

Trinomial 7th degree

400

(3x3 + 9x2 - 2) - (8x2 + 4x + 7x3)

-4x3 + x2 + 4x -2

400

0(3x2 - 5x +3)

0

400

(x-2)(3x2 + 4x - 5 -7c)

3x3 - 2x2 -7xc -13x +14c +10

500

what is the definition of a term?

a constant, variable, or a multiplicative of the two.

500

5f^4 + 42x - th^3 + z + 5

Polynomial 4th degree

500

(x - 5x2 - 7 - 3 + 2x) - (6x2 - 3x -3 + 2x3 - 6x3)

4x- 11x2 - 7

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3xy2(x + 2y + 6x4y3 - 2x6y)

-6x7y3 + 18x5y5 + 6xy3 + 3x2y2

500

(2x+4y)2

4x2 + 16y2 +16xy