DFA 1.1
f(x) = 4x + 7 and g(x) = 9x - 2
Find (f + g)(x)
13x + 5
28 - 6i
x4 + 3x3 - 2x + 11
3 turning points
Find the zeros of the polynomial below:
(x - 5)(x + 4)(2x - 7)
5, -4, 7/2
What is a polynomial called when it has a degree of 5?
Quintic
f(x) = 4x + 7 and g(x) = 9x - 2
Find (f - g)(3)
-6
(2 + 2i)(3 + 4i)
-2 + 14i
What is the end behavior for the following polynomial? (Hint: just put the left side first, and then right side by filling in the correct infinity)
-x6 + 2x2 - 5x + 2
-infinity, -infinity
Use the remainder theorem to find P(c) for the polynomial below if c = -2
P(x) = x4 + 2x2 - 10
14
Other terms for "zeros" include solutions, x-intercepts, or _______
roots
f(x) = 2x - 5 and g(x) = x2 + 10
Find (fg)(x)
2x3 - 5x2 + 20x - 50
Simplify the square root of -240
4i rad(15)
What is the relative maximum for the polynomial below:
x3 - x2 - 5x + 4
(-1, 7)
Divide 4x3 - 5x2 + 4x - 20 by x - 2
4x2 + 3x + 10
A number that consists of one real part, and one imaginary part
Complex Number
f(x) = 4x2 + 11 and g(x) = -3x
Find (f o g)(x)
36x2 + 11
3x2 + 18 = -30
x = 4i, -4i
If a quadratic graph does not cross the x-axis, what do we know about the zeros?
Both zeros are imaginary
Factor the polynomial below given that (x - 1) is a factor:
x3 + 5x2 - 22x + 16
(x+8)(x-2)
The operation where one function becomes the input of another function
Composition
f(x) = 3x - 2 and g(x) = x2 + 10x - 9
Find (g o f)(-1)
-34
Use quadratic formula to solve:
x2 + 2x + 50 = 0
-1 + 7i, -1 - 7i
Given the function f(x) = x2 - 9x + 15, determine the average rate of change over the interval x = 2 to x = 9
Solve the polynomial equation below:
2x3 + 2x2 - 30 = 14x
The parts of a polynomial once you break it down with division
Factors