Polynomials (Alg II Adv.)

Solve Equation

100

Solve:

2x^2-8=0

Solution Set: {2, -2}

200

Solve. 

x^3+4x^2-x-4=0

Solution Set: {-4,-1,1}

300

Solve. 

x^2+2x=42

Solution Set: 

{-1+sqrt(43),-1-sqrt(43)}

400

Solve. 

x^3+8=0

Solution Set: 

{-2,1+isqrt(3),1-isqrt(3)}

500

Solve. 

x^3-125=0

Solution Set:

{5,(-5+5isqrt(3))/(2),(-5-5isqrt(3))/2}

Create from Factors

100

Create a quadratic polynomial in standard form with the following factors:

(x+2) and (x+3)

f(x)=x^2+5x+6

200

Write a cubic function in standard form with the following factors:

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

f(x)=x^3-6x^2-x+30

300

Create a cubic polynomial in standard form with the factors:

(x+2)(x^2+1)

f(x)=x^3+2x^2+x+2

400

Create a quartic polynomial with the following factors:

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

2x^4+3x^3-6x^2-13x-6

500

Create a quartic in standard form using the factors

(x^2+1)(x^2+2)

x^4+3x^2+2

Classify Polynomials

100

Classify the following:

y=x+3

Linear

200

Classify the following polynomial:

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

Quartic Polynomial

300

Classify the following polynomial:

g(x)=pix^2+e

Quadratic

400

Classify the following polynomial:

m(x)=(3x+2)(x-2)(x+5)(x+3)(1/2x+3)

Quintic

500

Classify the following polynomial:

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

Cubic

Create from Roots

100

Create a quadratic function with roots -3 and 4.

x^2-x-12

200

Create a quadratic polynomial with the roots -5 and 2.

x^2+3x-10

300

Create a Cubic Polynomial with the following roots:

-2, -3, -4

f(x)=x^3+9x^2+26+24

400

What kind of polynomial could have two real roots OR two imaginary Roots OR one real and one imaginary?

A Quadratic Function

500

How many roots would you expect from a 10 degree polynomial?

10

Dwyer's Choice

100

What is the solution set for the following:

sqrt(2-n)=n

Solution set:

n={1}

200

What is the chemical symbol for gold?

Au

300

What is the solution set for

n=sqrt(10n)

Solution Set:

n={0,10}

400

Who is the first woman to fly solo across the Atlantic Ocean? 

Amelia Earhart

500

True or false:

Cotton Candy was originally invented by a dentist and called fairy floss. 

TRUE! Invented in 1897 by dentist William Morrison and confectioner named John C. Wharton. Cotton Candy was originally released as Fairy Floss!

Final Jeopardy

500

FINAL JEOPARDY:

Fully factor the following:

f(x)=x^6-64

Factored Form:

 (x-2)(x+2)(x^2+2x+4)(x^2-2x+4) 

1: Difference of Squares

2: Difference of cubes & Sum of Cubes