Polynomial Math

Definitions

100

What is a number or variable in a polynomial that is separated  by an addition or subtraction sign

a term

200

The number tied to  the variable within a term by multiplication is called the...

Coefficient

300

A term that has no variable

Constant

400

(x+y)(x-y) is called this.....

difference of two squares 

500

The formula for volume of a cylinder is.....

pi r squared h 

Adding and subtracting Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

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

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Subtract  the polynomials:

(x³+3x-4) - (-x³ - 4x - 1)

2x³+7x-3

Classifying Polynomials

100

Degree of    2xy

2

200

What is the degree of this polynomial? 

3x³+4x + 6 - 2x²x³ 

5

300

Monomial, Binomial, Trinomial? 

(-2xy⁴)⁵

monomial 

400

Monomial, Binomial, Trinomial ? 

(x+5)(x+5)

trinomial 

500

Leading coefficient? 

2xy³ + 7y + 2(6y⁵) -5x

12

Multiplying Polynomials

100

3x(3x⁶)

9x⁷

200

Multiply the Polynomials:

(3x)(2y)

6xy

300

Multiply the Polynomials:

1/3x² (6x⁴ - 12)

2x⁶ -4x²

400

(4x+3)(4x-3)

16x²-9

500

(2x-3y+6)(3y)

6xy-9y²+18y

Multiplying binomials

100

(x + 6) (x + 3)

x² -9x +18

200

(x+1)(x+1)   when multiplied forms what we called a __________________________________

perfect square trinomial 

300

(x - 8)(2x + 3)

2x² - 13x - 24

400

(3y + 9) (2y + 9)

6y² + 45y + 81

500

(4x²+3)(4x²-3)

16x⁴-9