AIME Polynomials and Functions 2

Question 1

For f(x) = x^2 - 4x + 7, what is the minimum value?

Accepted Answer

3

Answer

7

Answer

4

Answer

0

Question 2

How many real roots does x^4 + 4 = 0 have?

Accepted Answer

0

Answer

2

Answer

4

Answer

1

Question 3

Simplify (x^2 - 9)/(x^2 - x - 6) for x ≠ 3 and x ≠ -2.

Accepted Answer

(x+3)/(x+2)

Answer

(x-3)/(x-2)

Answer

(x+3)/(x-2)

Answer

(x-3)/(x+2)

Question 4

The function f(x) = 3/(x-2) has a vertical asymptote at:

Accepted Answer

x = 2

Answer

x = 3

Answer

x = 0

Answer

x = -2

Question 5

If g(x) = x^2 and h(x) = x + 1, find (g ∘ h)(3).

Accepted Answer

16

Answer

10

Answer

13

Answer

9

Question 6

Find the product of the roots of 2x^2 - 6x + 3 = 0.

Accepted Answer

3/2

Answer

3

Answer

6

Answer

1/2