Solve Equation
Solve:
2x^2-8=0
Solution Set: {2, -2}
Create a quadratic polynomial in standard form with the following factors:
(x+2) and (x+3)
f(x)=x^2+5x+6
Classify the following:
y=x+3
Linear
Create a quadratic function with roots -3 and 4.
x^2-x-12
What is the solution set for the following:
sqrt(2-n)=n
Solution set:
n={1}
Solve.
x^3+4x^2-x-4=0
Solution Set: {-4,-1,1}
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
Classify the following polynomial:
2(x^2+4)^2+5x^3+4x
Quartic Polynomial
Create a quadratic polynomial with the roots -5 and 2.
x^2+3x-10
What is the chemical symbol for gold?
Au
Solve.
x^2+2x=42
Solution Set:
{-1+sqrt(43),-1-sqrt(43)}
Create a cubic polynomial in standard form with the factors:
(x+2)(x^2+1)
f(x)=x^3+2x^2+x+2
Classify the following polynomial:
g(x)=pix^2+e
Quadratic
Create a Cubic Polynomial with the following roots:
-2, -3, -4
f(x)=x^3+9x^2+26+24
What is the solution set for
n=sqrt(10n)
Solution Set:
n={0,10}
Solve.
x^3+8=0
Solution Set:
{-2,1+isqrt(3),1-isqrt(3)}
Create a quartic polynomial with the following factors:
(2x+3)(x-2)(x+1)^2
2x^4+3x^3-6x^2-13x-6
Classify the following polynomial:
m(x)=(3x+2)(x-2)(x+5)(x+3)(1/2x+3)
Quintic
What kind of polynomial could have two real roots OR two imaginary Roots OR one real and one imaginary?
A Quadratic Function
Who is the first woman to fly solo across the Atlantic Ocean?
Amelia Earhart
Solve.
x^3-125=0
Solution Set:
{5,(-5+5isqrt(3))/(2),(-5-5isqrt(3))/2}
Create a quartic in standard form using the factors
(x^2+1)(x^2+2)
x^4+3x^2+2
Classify the following polynomial:
g(x)=(x+3)(x^2+4x+4)
Cubic
How many roots would you expect from a 10 degree polynomial?
10
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:
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