SAT Subject Test Math Level 2 Practice Test: Higher-Degree Polynomial Functions

Test Information 6 questions 7 minutes

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1. P(x) = ax4 + x3 - bx2 - 4x + c. If P(x) increases without bound as x increases without bound, then, as x decreases without bound, P(x)

A. increases without bound
B. decreases without bound
C. approaches zero from above the x-axis
D. approaches zero from below the x-axis
E. cannot be determined

2. Which of the following is an odd function?

I. f(x) = 3x3 + 5

II. g(x) = 4x6 + 2x4 - 3x2

III. h(x) = 7x5 - 8x3 + 12x

A. only I
B. only II
C. only III
D. only I and II
E. only I and III

3. How many possible rational roots are there for 2x4 + 4x3 - 6x2 + 15x - 12 = 0?

A. 4
B. 6
C. 8
D. 12
E. 16

4. If both x - 1 and x - 2 are factors of x3 - 3x2 + 2x - 4b, then b must be

A. 0
B. 1
C. 2
D. 3
E. 4

5. If 3x3 - 9x2 + Kx - 12 is divisible by x - 3, then K =

A. -40
B. -3
C. 3
D. 4
E. 22

6. Write the equation of lowest degree with real coefficients if two of its roots are -1 and 1 + i.

A. x3 + x2 + 2 = 0
B. x3 - x2 - 2 = 0
C. x3 - x + 2 = 0
D. x3 - x2 + 2 = 0
E. none of the above

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