The complete factorisation of the polynomial given; x³ + 2x² + 4x + 8 as in the task content can be factorised and determined as; Choice D; (x+2)(x+2i)(x-2i).
<h3>What is the complete factorisation of the given polynomial; x³ + 2x² + 4x+8?</h3>
It follows from the given task content that the polynomial whose factors are to be determined by means of factorisation is; x³ + 2x² + 4x+8.
It follows from observation that one of the zeros of the polynomial expression is at; x = -2.
Consequently, one of the factors of the polynomial in discuss is; (x+2).
x³ + 2x² + 4x+8 = (x+2) (x² - 4i²)
= (x+2)(x+2i)(x-2i)
Consequently, it follows that the complete factorisation of the polynomial is; (x+2)(x+2i)(x-2i).
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Step by step guide
1)carry the chicken over and put it there
2) farmer cross alone to carry the corn over and carry the chicken back
3) put the chicken there and carry the fox to put there with th3 corn
4) go back to get the chicken
Answer:
B. (x - 2)^2 + (y - 1)^2 = 9.
Step-by-step explanation:
The general equation for a circle can be written as:
(x - a)^2 + (y - b)^2 = r^2 where the centre is at (a, b) and the radius= r.
Here a = 2, b = 1 and r = 3 so the answer is:
(x - 2)^2 + (y - 1)^2 = 3^2
= (x - 2)^2 + (y - 1)^2 = 9.
Answer:
19.2
Step-by-step explanation:
use the Pythagorean theorem a^2+b^2=c^2
The amount in the account after the given time if compounded semiannually to the nearest cent is $1104.2
<h3>Compound interest </h3>
Interest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
Principal = $1000
rate r = 5% = 0.05
time = 3years
n = 2 (semi annually)
Substitute the given parameters
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually to the nearest cent is $1104.20
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