Math Review Jeopardy Polynomials

Solving polynomial equations by finding the roots

100

3x²+8x=-4

x=-2/3

x=-2

225

(x+2)(x-6)=x+2

x=7

x=-2

350

x³+2x²-9x-18=0

x=-2

x=-3

x=3

500

x⁴ -9x²+20=0

x= radical 5

x= radical-5

x=2

x=-2

700

Challenge 

(x-2)(5x²+5x-1)=0

x= -5+3 radical 5

         10

x= -5-3 radical 5

         10

Roots whiles solving for x and degrees

100

The multiplicity of a root is?

How many times the root occurs as a solution.

225

Include the multiplicity 

(4x-1)(x+3)

x=1/4 M1

x=-3 M1

350

What is the degree for this?

(x+1)²(x-6)=0

3

500

Find the total degree of the problem below.

x³(x-2)²(x²+4x-8)=0

7

700

Find the values of x and there multiplicity

6x⁵+44x⁴+14x³=0

x=0 M3

x=1/3 M1

x=-7 M1

Factoring the Sums and difference of cubes

100

What 4 letter acronym do we use to remember how to factor difference of cubes?

SOAP

You do not need this part to get credit

S: Same

O: Opposite

A: Always

P: Positive

225

x³+125

Simplify the problem above

(x+5) (x²-5x+25)

350

8x³+27

Simplify the problem above and also solve for A and B from the formula you used to solve

a=2x

b=3

(2x+3)(4x²-6x+9)

500

Factor the problem below

343x³+64y³

(7x+4y) (49x²-28xy+16y²)

700

Factor the problem below 

648x+1029x⁴

3x(6+7x)(36 -42x+49x²)

Mixed problems

100

Find the degree of the following problem.

-x² -6x⁴ +2x= -3x⁴

Degree=4

225

Find the degree for the following problem

4(x-3)³(2x-5)²=0

Degree=5

350

Factor the following problem and simplify 

5x⁴-125x²

5x²(x+5)(x-5)

500

Simplify please List Multiplicity and all value of what x equals 

x³+x²-x-1

x=-1 M=2

x=1 M=1

700

Trick question what is x⁰

1

Double down and each question is worth double right or wrong

100

Simplify and list the equation by factoring include the degree and leading coefficient 

f(x)=(x-2)(x+4)(x-7)

x³-5x²-22x+56

LC=1

D=3

350

Find the Leading Coefficient Degree and X Intercept(s)

 

 f(x)=-3/2x(x-2)(x+6)

LC:-3/2 or -1.5 are acceptable

Degree=3

500

Find the Lead Coefficient, Degree and all X intercepts

-2(x+2)(2x+1)(x-4)(x-1) 

LC:-4

D:4

X intercepts (-2,0)(-.5,0)(4,0)(1,0)