(2.1) Quadratic Functions
(2.2) Polynomial Functions of a Higher Degree
(2.3) Real Zeros of a Polynomial Function
(2.4) Complex Numbers
(2.5) Fundamental Theorem of Algebra
100
Complete the square of this formula: m²+12m+3=0
m= -6±√33
100
Find the highest degree AND highest lead coefficient of this equation: 3x⁸y+2x³y²z⁶-3z⁴+4x³y⁴-8x¹⁷y²+38
Degree: 17 L.C.: 8
100
Find the rational zeros of f(x)=2x³+3x²-8x+3
(x-1)(2x-1)(x+3)
100
What is i²equal to?
-1
100
Find the multiplicity of x²-6x+9
k=2
200
State the Standard Form of a quadratic equation?
f(x)= a(x-h)²+k
200
Determine the right and left behavior of y=x³-2x²-x+1
"Falls to the left" & "Rises to the right"
200
Use synthetic division to divide x⁴-10x²-2x+4 by x+3
x³-3x²-x+1+ (1/x+3)
200
Add (3-i) + (2+3i)
5+2i
200
x³+4x
x=0, x= -2i, x= 2i
300
Identify the vertex of f(x)=2x²+8x+7
(-2,-1)
300
Find the real zeros of -2x⁴+2x²
x=-1, x=1, x=0
300
Use Descartes' Rule of Signs to describe the possible zeros of: f(x)=3x³-5x²+6x-4
3 or 1
300
Multiply the complex numbers: (2-i)(4+3i)
11+2i
300
Write the quotient 8+3i/5+2i in SF
46/29 - i/29
400
Write the Standard Form of the equation that passes through the point (4,-1) with the vertex (1,3)
a= 4/9
400
Give the maximum number of turning points and the maximum number of zeros for the function: f(x)= -x⁵+x⁴-3x
Max turning points: 3 Max zeros: 5
400
Divide 6x³-19x²-4 by x-2 and then factor the polynomial completely
(x-2)(2x-1)(3x-2)
400
Multiply (3-5i) by its conjugate
34
400
Find a fourth degree polynomial function with real coefficients that has -1, 1 and 3i as zeros.
x⁴+2x³+10x²+18x+9
500
Find where the max/min occurs at y=2x²-12x+24
either max or min at (3,6)
500
Find the polynomial that has the given zeros: x=-1,-2,4
x³-x²-10x-8
500
Divide 6x⁴-x³-x²+9x-3 by x²+x-1
6x²-7x-2 + 4x-5/x²+x-1
500
Write the quotient of 2+3i/4-2i in SF
1/10 + 1/5i
500
Write f(x)= x⁵+x³+2x²-12x+8 as a product of linear factors, and list all the zeros of f.
x=1 (k=2), x=-2, x=±2i
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