University of Maryland Global Campus Factor the Following Polynomial Algebra Quiz

a)Whencalculations are involved, show how you came up with your answers.

b)Show why you choose certain answer for true-or-false and multiple-choice questions.

c)Answers that come straight from programs or software packages will not be accepted.

d) In order to receive full credit,make sure that each answer is as complete as possible.

a)When calculations are involved, show how you came up with your answers.
b) Show why you choose certain answer for true-or-false and multiple-choice questions.
c) Answers that come straight from programs or software packages will not be accepted.
d) In order to receive full credit, make sure that each answer is as complete as possible.
Problem 8. Factor the following polynomial and use the factored form to find the
zeros. Then sketch its graph and use the graph to solve the inequality.
𝑃(𝑥) = 𝑥 2 − 6𝑥 + 9, 𝑃(𝑥) > 0
Problem 1. Solve for 𝑥. Give exact answers.
25 = 53𝑥+1
Problem 2. Solve for 𝑥. Give exact answers.
4𝑥+1 =
1
8
Problem 3. Solve the following equation and give the exact answer.
log(3 + 𝑥) = 0.5
Problem 4. Solve the equation and give the exact answer.
log 2 (3𝑥) + log 2 (4) = 4
Problem 5. Solve the equation and give the exact answer.
log(𝑥) = 2 − log(𝑥)
Problem 6. Solve the following equation. Round all answers to the nearest
thousandth.
3𝑥 = −𝑥
Problem 7. Solve the following equation. Round all answers to the nearest
thousandth.
𝑥 + 2 = ln⁡(𝑥 + 5)
Problem 8. Determine how long it will take $12,000 to grow to $18,000 in an account
earning 6.5% interest if interest is compounded annually.
Problem 9. What is the pH of human tears if they have an hydrogen ion
concentration of 3.98⁡ × 10−8 ?
Use the following pH Scale formula:
𝑝𝐻 = − log[𝐻 + ]
+
[𝐻 ]: concentration of hydrogen ions measured in moles per liter (M).
Problem 10. How old is a bone that contains 25%⁡of its original carbon-14 that was
present in the living animal? (The half-life of carbon-14 is 5730 years.).
Use the following formula for radioactive decay:
𝑚(𝑡) = 𝑚0 𝑒 −𝑟𝑡 , where 𝑟 =
𝑚(𝑡): mass at time 𝑡
𝑚0 : initial mass of substance
ℎ: half – life
𝑡: time
ln(2)
ℎ