B.complex/imaginary roots
Answer:
Step-by-step explanation:
PART A: 2x^5 + 3x^2-3
It is a fifth degree polynomial because, the highest degree is 5 and it is in the standard form since, the polynomial is written in descending order i.e, from highest degree to the least
part B:
Closure property is applicable to the subtraction of polynomials.
for example 2x^4+2x^2-5 is a polynomial and 2x^3+2x+2 is also a polynomial.
if we subtract these two polynomials, the outcome
2x^4-2x^3+2x^2-2x-7 is also a polynomial
Step-by-step explanation:
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Answer:
1) P(0) = 5000
2) P(t --> ∞) = 25000
Step-by-step explanation:
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
1) Population at the moment corresponds to population at t = 0
P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)
2) Population in the long term corresponds to the population as t --> ∞
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
Divide through the numerator and denominator by t²
P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))
P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)
P(t --> ∞) = 25 thousand = 25000
Answer: Divide each term by −
10 and simplify.
k
=
−2
