Graphing Polynomials
Multiplying Polynomials
Factoring Polynomials
Dividing Polynomials
Zeros of Polynomials
100

Name the following function...

x2-6x+7

Quadratic Trinomial or Cubic Binomial

Quadratic Trinomial

100

Multiply.

 (x+3)(2x−1)

2x2+5x−3

100

Factor.

x2+7x+12

(x+3)(x+4)

100

Use synthetic division to divide: (2x3−3x2+x−6)÷(x−2)



2x2+x+3

100

Find the zeros of f(x)=(x−1)(x+3)(x−4)

x=1,−3,4

200

What is the degree and leading coefficient of f(x)=−2x3+4x2−x+7

Degree 3, leading coefficient -2

200

Multiply.

(x+2)(x2−3x+1)

x3−x2−5x+2

200

Factor: 2x3+7x2+3x  

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

200

Divide by long division or synthetic division.

(x3+2x2−x−2)÷(x+1)

 x2+x−2

200

What are the possible rational roots of 2x3−5x2+3x−6=0?

±1,±2,±3,±6,±1/2,±3/2

300

What is the degree of the polynomial f(x)=4x3+3x4−2x2+5


4

300

Multiply.

(x2−2)(x2−3)

x4−5x2+6

300

Factor

x3−27

(x−3)(x2+3x+9)

300

Divide using long division: (x2+5x+6)÷(x+2)

x+3

300

Sketch the following function.

f(x)=x3 + 4x2 + x - 6