1. Quadratic Equations

2. Vocabulary recap
Monomial = 1 term
i.e. 3, 4x, x 2y
Binomial = 2 terms that cannot be combined
i.e. n + 3, 4x 2+y
Trinomial = 3 terms that cannot be
combined
2 3 5
i.e. x + 3x + 5, y + 5x - x

3. Polynomial = any number of terms that
cannot be combined
i.e. any monomial/binomial/trinomial or
bigger
Quadratic = a polynomial of the form
2
ax + bx + c = 0, can be graphed to
form a parabola.

4. Given (a)(b) = 0
if nothing else is known what conclusions
can be drawn from the above?
it is true if a or b = 0
0(b) = 0
(a)0 = 0
so we know that a or b must be 0, or both.

5. given a function
2
f(x) = ax + bx + c
the roots, aka the zeros, aka the x
intercepts are the values of x when the f(x)
is 0.
Put another way where y = 0

6. f(x) = x 2 + 5x + 6
Find the roots of the function
The roots are when f(x) =0
so 0 = x2 + 5x + 6
0 = (x+2)(x+3)
0=x+2
0=x+3
x = -2, -3

7. So if we wanted to graph the previous
function we know the parabola intercepts
the x axis at -2 and -3

8. Exercise 13
Bonus: solve for x
ax 2 + bx + c = 0
hint: you'll need to complete the square!