Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
This does not appear to make sense, could you perhaps add signs such as multiplication, division, etc.
Hey there!
2.7 * 10^4 + 120
10^4
= 10 * 10 * 10 * 10
= 100 * 100
= 10,000
2.7 * 10,000 + 120
= 27,000 + 120
= 27,120
Therefore, your answer is. [10,000 * 2.712] because 10,000 * 2.712 is approximately 27,120
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
If you do 2/29 you get 0.0689 . . .
that rounds to 0.07
0.07 = 7/100 = 7%
Answer: 7%