Pre-calculus Midterm Exam

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9

• 3x² - 3x + 8 - 9/x+1

• 3x² + 3x + 8 + 7/x+1

• 3x³ + 3x² + 8x + 7

According to the Rational Root Theorem, what are the all possible rational roots?

2x³ - 11x² + 12x + 9 = 0

• ±1,±2

• ±1,±3,±9

• ±1,±3±9,±1/2,±3/2,±9/2

• ±1,±2,±1/3,±2/3,±1/9,±2/9

Calculate (multiply):

(4 + 3i)(4 − 3i)

• 16 − 9i²

• 25

• 7

• 8 − 6i

Factor by grouping:

4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Which of the following is a factor? 4x²-9

• (4x-9)

• x

• (2x+3)

What is row 5 of Pascal's Triangle?

• 1, 2, 1

• 1, 3, 3, 1

• 1, 4, 9, 4, 1

• 1, 5, 10, 10, 5, 1

Calculate ₁₀C₃

• 720
• 120
• 90
• 72

Find the coefficient of x³ in the expansions of (x + 2)⁵.

• 40

• 35

• 30

• 25

Evaluate the limit.

• -12.5

• 0

• 1

• Limit DNE

Which of the following could be the functions f and g such that the composition f(g(x)) is equal to the given expression.

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