Algebra Sample Question from Blackboard Pool

Section 5.1
Quiz 6.5

Question:

Use synthetic division to determine the quotient. Write your answer like 3x^2+x-5

–2x³ – 5x² – 9

x + 3

Section 5.2
Quiz 6.6

Question:

Use the Rational Zeros Theorem to determine the possible rational zeros of the following polynomial. Do not find the roots.

f (x) = 3x³ + 2x² – x – 9

±3, ±1
±3, ±1, ±1/3, ±1/9
±9, ±3, ±1, ±1/3
±1, ±1/3

Variation:

Use the Rational Zeros Theorem to determine the possible rational zeros of the following polynomial. Do not find the roots.

f (x) = 10x³ + 3x² – x – 5

±5, ±1, ±5/2, ±1/2, ±1/5, ±1/10
±10, ±5, ±2, ±1, ±2/5, ±1/5
±2, ±1
±1, ±1/2

Section 5.3	Question:	Multiply (3 + 2i)(2 – 2i). Write your answer like `3-3i`.
Quiz 8.1

Section 5.3	Question:	Divide (80 + 40i) / (1 – 3i). Write your answer like `3-3i`.
Quiz 8.2