Complex Numbers and Operations
Discriminant
Quadratic Formula
Synthetic Division
Mix
100

What does i2  equals to?

-1

100

What is the Discriminant formula?

(b)2-4(a)(c)

100

What is the Quadratic Formula?


100

Determine if (x-3) is a factor of x3-7x2+16x-13. If not what is the remainder?

No the remainder is -1

100

Fill in the Blanks.

When we divide two polynomials and the remainder is_____ then the divisor is a _______ of the dividend.

Zero and Factor

200

√-121

11i

200

What is the Discriminant, the number and type of solutions? 

5x2+8x=-1+2x


Discriminant-16

Number & Type-2 Real

200

Is this in Standard form? If not rewrite it in the correct form.

4x2-42=-5x

4x2+5x-42=0

200

Determine if (x-5) is a factor of 5x3-24x2-10x+25. If not what is the remainder? If so what is the solution?

Yes, solution is x=5

200

Determine if the following divisors are factors using synthetic division. List the Remainder, if its a factor and the solution is.

(3x3+11x2-21x) ÷ (x+5)

Remainder: 5

Is (x+5) a factor: No

What is the solution: N/A

300

6i√-49

-42

300

How many types of solutions will I have with this number -8?

2 complex

300

Solve the problem using the Quadratic Formula to find the solutions/Zeros.

3x2+6x+3=0


x=-1

300

Find "All" the factors & solutions of 

(x3-x2-10x-8) ÷(x+2)

(x+2), (x+1), (x-4)

300

Use the discriminant formula to find the discriminant, number of, and type of solutions.

-9v2-6v-10=-9

Discriminant: 0

Number & Type: 1 Real

400

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

8+2i

400

What is the Discriminant, the number and type of solutions? 

3x2+12x+4=-6x2

Discriminant-0

Number & Type-1 Real

400

Solve the problem using the Quadratic Formula to find the solutions/Zeros.

4x2+5=-12x

X=-1/2

X=-5/2

400

Divide using Synthetic Division and write the new standard form.

(x3-12x2+17x+30) ÷ (x-10)

x2-2x-3

400

Use the quadratic formula to find the solutions.

-6p2=-9p-135

x=5

x=-9/2

500

Must show work!

(1+4i)(3-6i)

27+6i

500

What is the Discriminant, the number and type of solutions? 

2x2+4x+2=x2-3

Discriminant- -4

Number & Type- 2 complex

500

Solve the problem using the Quadratic Formula to find the solutions/Zeros.

-2x2+17=-4x2

X=1+√67i/4

X=1-√67i/4

500

Use Synthetic Division to find all the factors and all the roots.

x3-12x2+41x-30 Given roots x=5

All Roots: x=5, x=1, x=6

All Factors: (x-5), (x-1), (x-6)

500

Must show work!

(3+2i)2

5+12i