Answer: (x-2) (x^2 + 2x + 4)
Step-by-step explanation:
x^3 - 8
x^3 - 2^3
(x-2) * (x^2+x * 2 + 2^2)
(x-2) (x^2 + 2x + 4)
Answer:

Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:

So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:

Simplify:

Solve for <em>k</em>. Subtract 3 from both sides:

Factor:

Zero Product Property:

Solve:

So, either of the two expressions:

Will yield 3 as the remainder.
Answer: $5,828.28
<u>Step-by-step explanation:</u>
Use the Compound Interest formula:
where
- A is the accrued amount (balance)
- P is the principal (initial amount invested)
- r is the interest rate (in decimal form)
- n is the number of times compounded each year
- t is the time of the investment (in years)
Given: P = 4,900
r = 3.5% (0.035)
n = 2
t = 5

Answer:
285 words
Step-by-step explanation: