DSAT Advanced Math 3

Question 1

A polynomial p(x) satisfies p(2) = 0. Which of the following must be a factor of p(x)?

Accepted Answer

x - 2

Answer

x + 2

Answer

x² - 2

Answer

2x - 1

Question 2

What is the sum of all solutions to x² - 5x + 6 = 0?

Accepted Answer

5

Answer

2

Answer

3

Answer

6

Question 3

Which of the following is equivalent to (x + 3)² - 4?

Accepted Answer

x² + 6x + 5

Answer

x² + 6x + 13

Answer

x² + 9x + 5

Answer

x² + 3x + 5

Question 4

For what value of k does the equation x² + kx + 16 = 0 have exactly one real solution?

Accepted Answer

8

Answer

4

Answer

6

Answer

16

Question 5

The graph of y = a(x - h)² + k passes through (0, 5) with vertex at (2, 1). What is the value of a?

Accepted Answer

1

Answer

4/3

Answer

1/2

Answer

2

Question 6

Which expression is equivalent to (x² + 2x - 8) / (x + 4)?

Accepted Answer

x - 2

Answer

x + 2

Answer

x - 4

Answer

x + 4

Question 7

If f(x) = x³ - x and g(x) = x + 2, what is f(g(1))?

Accepted Answer

24

Answer

6

Answer

18

Answer

12