2. 1. Quadratic Equation: y = ax2 +
bx +c
2. The graph is a parabola, a u-
shaped figure.
3. The parabola will open upward or
downward depending if it’s positive
or negative.
4. Quadratic Formula:
Example: x^2+2x-8=0
X=-2±√2^2-4(1)(-8)
2(1)
=-2±√4+32 = -2±√36 = -2±6
2 2 2
x= -4 x=2
My understanding of quadratic functions is that
we use the quadratic equation: y = ax2 + bx +c
to find the parabola. Then you use the quadratic
formula which is the most important one to find
where the points will be and if its going to go up or

3. • Synthetic division is used to find out zeros of y
• Example: x^3 – 12x^2- 42
x-3
The numbers inside are the
coefficients of the
problem, and the number
outside is the divisor.
Your first drop the first the coefficient
and multiply it by the divisor. Once you
multiply it you add it with the next
coefficient, and so on.
Answer: 1x^2- 9x- 27 Remainder: -123
My understanding of synthetic division is that its used to find zeroes of y.
In order to find the answer we multiply the divisor to the coefficient and
then add. There are times where your going to find remainders which are
okay.

4. • Real Zeros are the x intercepts of a function
• A complex number is a combination of a real number and a
imaginary number.
• “i” is seen as the imaginary number
• You can add, subtract, multiply, and divide complex numbers
• Example: (3 + 2i)(1 + 7i)
(3 + 2i)(1 + 7i) = 3*1 + 3*7i + 2i*1+ 2i*7i
= 3 + 21i + 2i + 14i2
= 3 + 21i + 2i - 14 Answer: -11 + 23i
My understanding of complex numbers is that it’s
a combination of a real number and an imaginary
number. An imaginary number is considered “I”
which is equal to square root of -1.

5. • To graph a rational function you find the Asymptotes and the Intercepts.
• To graph the equation you can use a T chart to find the points on the
graph.
• Example: y= 1/ (x+3)
X Y
-3 Infinity
-2 1
-1 0.5
0 0.33
1 0.25
2 0.2
3 0.26
My understanding of rational equations is that it helps
you find asymptotes and intercepts. Intercepts is “x”
and “y”. Asymptotes is a line that continually
approaches a given curve but does not meet with the
line. Know you can use the Tchart to help you find the
coordinates of the equation like shown above.

6. • The fundamental Theorem of Algebra finds the zeros of polynomial
equations.
• It is usually used in functions that are larger than quadratic.
• The degree of a polynomial with one variable is the largest exponent
of the variable.
• A "root” or also known as zero is where the polynomial is equal to
zero.
Example: 3x^2 - 18x + 24
3x^2 - 18x + 24 = 3(x-2)(x-4)
The polynomial is zero at x = 2 and x = 4
My understanding of the fundamental theorem of algebra is that it
finds the zeroes of polynomial equations. I also know that roots are
used to power the equation.