Polynomial Math

Definitions

100

How many terms are in a trinomial?

Three

200

The number before a variable within a term is called the...

Coefficient

300

How do I know if a problem is in standard form?

If the exponents are going from largest to smallest

400

Terms that have the same variables and the same degree are....

Like terms

500

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

a term

Adding 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:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

Add the polynomials:

(t2 + 3t3 -3) + (2t2 +7t -2t3)

t³ +3t² +7t -3

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

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

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(2x² - 3x) - (x² -2x + 4)

-x² + x - 4

500

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

Multiplying Polynomials

100

3(3x)

9x

200

Multiply the Polynomials:

(3x)(2y)

6xy

300

(4x)(4x-3)

16x²-12x

400

Multiply the Polynomials:

3x(2x² + 4)

6x³ + 12x

500

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

6xy-9y²+18y

Multiplying binomials

100

(x + 6) (x + 3)

x² - 3x - 18

200

(x - 8)(2x + 3)

2x² - 13x - 24

300

(3x - 4)(2x + 5)

6x² + 7x - 20

400

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

6x²-11x-10

500

(3x+1)(2x+3)

6x²+11x+3