Chapter 2 Practice Quizzes y x  

Chapter 2 Practice Quizzes
2.1-2.2 Practice Quiz
1. f(x) = x2 – 4x – 12
a) Find the vertex
b) Find the x-intercepts
c) Find the y-intercept
d ) Sketch the graph.
2. The height y (in feet) of a ball thrown by a child is given by
y
1 2
x  2 x  4 where x is the horizontal distance (in feet) from
12
where the ball is thrown.
(a) How high is the ball when it leaves the child’s hand?
(b) How high is the ball when it is at its maximum height?
(c) How far from the child does the ball strike the ground?
3. Find the quadratic function that has the indicated vertex and whose graph passes through the given point:
Vertex: (-2, 5) Point: (-1, 5)
4. Find all the real zeros of the polynomial function and then sketch: f(x) = x3 – 4x2 – 12x
5. Find all the real zeros of the polynomial function and then sketch: f(x) = –x3 + 2x2 – x
2.3 Practice Quiz
1. Divide (6x3 + 7x2 – 15x + 6) ÷ (x – 3)
2. Divide (2x4 + 7x3 – 23x2 – 43x – 15) ÷ (2x + 1)
3.
Use synthetic division to find f(-4): f(x) = x5 – 5x4 – 20x3 – 6x – 10
4. Use synthetic division to find all the zeros of the polynomial if –5 is a zero: f(x) = 2x3 + 5x2 – 28x – 15
5. Find all the real zeros of the following function: g(x) = x3 – 6x2 + 11x – 6
2.4 – 2.5 Practice Quiz
1. Write in standard form: (2  7i)  (3i  10)   81
2. Write in standard form:
3  5i
4  2i
3. Find a third degree polynomial that has zeros: –3, 5i
4. Find all the zeros of f ( x)  x 3  4 x 2  5x  2
5. Solve for x: x2 + 4x + 7 = 0
6. Write the polynomial as a product of linear factors (factor completely): f ( x)  x 4  15x 2  16