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Definitions

100

What is a monomial? 

A number, a variable or the product of a number and one or more variable with whole number exponents.

Monomial= 1 term

for example 4x^4  7v^3c^4

200

What is a polynomial? 

A monomial or sum of monomials each terms

300

What is standard form?

Standard form is where an equation is written so that the exponents of a variable decrease from left to right.

400

What is a degree of a monomial?

A degree is the highest exponent, sum of the exponents of the variables in a monomial

500

What are the polynomial names?

1.Monomial, 2.Binomial, and 3.Trinomial, tetranomial, quintrinomial, ...(for the most time only the first 3 are used)

Adding Polynomials

100

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

8x^3+2x^2+2x+2

200

(7x^3-5x^4-7x)+(6x^4+x^3-4x)

x^4+8x^3-11x

300

(4-7v^3-3v-7v^2)+(3v^4+7v^2+6v^3+1)

3v^4-v^3-3v+5

400

(4m^2-m+2)+(-3m^2+10m+7)

1m^2+9m+9

500

(4x^2-7x^4-5x)+(6x^4+6x^2-4x)

1x^4+10x^2+(-9x)

Subtracting Polynomials

100

(5x^3-3x+2)+(3x^3_2x^2+5x)

8x^3+2x^2+2x+2

200

(-x² - 5)-(-3x² - x - 8)

2x² + x +3  

300

(-5h - 2) - (7h + 6)

-12h - 8

400

(2x - 3x) - (x^{2 -}2x + 4)

 -x² + x - 4

500

(3x3 + x2 - 2x -1) + (x3 + 6x + 3).

4x3 + x2 + 4x + 2

Multiplying Polynomials

100

5(x + y)

5(x + y) = 5x + 5y

200

2x(y + 3)

2xy+6x

300

(3k - 1) (3k + 1)

9k² + 6k + 1

400

(x + 2) (x - 3)

x² - x - 6

500

(4b - 3) (b - 7)

4b² - 31b + 21