Final Exam Review

Quadratics

100

Put the following into standard form:

y=-5+2x^2-2x

y=2x^2-2x-5

200

What is the name of a quadratic graph?

Parabola

300

What is the vertex of this function:

f(x)=-3(x+7)-5

(-7, -5)

400

What is the axis of symmetry of the following function:

y=2x^2+12x+5

x=-3

500

What is the vertex of the following function:

y=2x^2-28x+112

(7,14)

Factoring

100

Factor the following by GCF:

12x+30

6(2x+5)

200

Factor the following by GCF:

-40x^4-16x^2

-8x^2(5x^2+2)

300

Factor the following by GCF:

39x^2y^7z^3+30xy^3

3xy^3(13xy^4z^3+10)

400

Factor the following:

x^2+9x+20

(x+4)(x+5)

500

Factor:

2x^2-7x+5

(2x-5)(x-1)

Solving Quadratics

100

Solve by factoring:

x^2-11x+24=0

x=8 and x=3

200

Solve by factoring:

x^2+2x-76=4

x=8

x=-10

300

Solve by factoring:

3x^2-10x+7=0

x=7/3

x=1

400

Solve using the quadratic formula:

6x^2+x-15=0

x=3/2

x=-5/3

500

Solve using the quadratic formula:

9x^2+12x+1=-3

x=-2/3

(multiplicity 2)

Complex Numbers

100

sqrt-1=?

i

200

What is the standard form for a complex number?

a+bi

300

What is the complex conjugate of :

-3+sqrt2

-3-sqrt2

400

Simplify the square root of -100

10i

500

Simplify:

sqrt-18

3isqrt2

Polynomials

100

Put the following in standard form:

2+4x^3+3x+x^4-x^5

-x^5+x^4+4x^3+3x+2

200

(-3x^2+9x-9)+(-9x^2+9x+3)

-12x^2+18x-6

300

(-2x^2+9)-(-2x^2-6x+10)

6x-1

400

(3x+1)(x^2+4x-8)

3x^3+13x^2-20x-8

500

2x³-3x²+4x+5 / x+2

2x²-17x+18 -31/(x+2)