Polynomials

Definitions

100

The constant in a polynomial has no what?

variable or x-term

200

DAILY DOUBLE

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

Coefficient

300

The zeros of a function represent these of a graph.

x-intercepts

400

Refers to the highest exponent in a polynomial

Degree

500

Polynomials can be written in two forms, what are they?

Factor form and standard form

Add or Subtract

100

Add the Polynomials

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

5x + 5

200

Subtract the polynomials:

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

-12h - 8

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Multiplying Polynomials

100

3(3x)

9x

200

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

6x² + 7x - 20

300

3x^2(2x^4 + 4)

6x^6 + 12x^2

400

4x(x-2)^2

4x^3-16x^2+16x

500

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

6xy-9y2+18y

Dividing Polynomials

100

DAILY DOUBLE

Divide:

(x^2+2x-3)/(x+1)

x-3

200

(x^3+3x^2+4x)/x

x^2+3x+4

300

(4x^3+8x^2-12x)/(4x)

x^2+2x-3

400

(5x^2+x^3+4x+4)/(x+1)

5x^2+4

500

(18x^3+15x^2+24x+20)/(6x+5)

3x^2+4

x intercepts

100

Solve by factoring:

(x + 3)(x - 1) = 0

x = -3 or x = 1

200

Solve by factoring:

(2x + 3)(x - 5) = 0

x = -3/2 or x = 5

300

Solve by factoring:

x² - x - 20 =0

x = -4 and x = 5

400

Solve by factoring:

x² - 4 = 3x

x = 4 and x = -1

500

Give all possible number of x-intercepts a quadratic function could have when graphed.

2, 1, or 0