1) Let f(x) be x^3+5x^2+2x+1
Since f(x) is divided by x+1,
R= f(-1) = (-1)^3 + 5(-1)^2+2(-1) + 1
= -1+5-2+1
= 3
2) Let f(x) be x^3 - 6x + 5x +2
Since f(x) is divided by x-5,
R= f(5) = x^3 - 6x^2 + 5x +2
= 5^3 - 6(5)^2 + 5(5) +2
= 125 - 150 + 25 + 2
= 2
Answer:
Step-by-step explanation:
<u>Given GP with </u>
<u>Let the common difference is r, then</u>
<u>Solve for r and then a₁:</u>
- 4r = 7 ⇒ r = 7/4
- a₁(7/4)³ = 4
- a₁ = 4*(4/7)³ = 4⁴/7³ = 256/343
For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 1000 * (3) ^ ((1/8) * t)
For 24 years we have:
y = 1000 * (3) ^ ((1/8) * 24)
y = 27000
Answer:
D) 27,000; exponential
