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.
The V-shaped graph opens downward, and its vertex lies at (1,12)
Answer:80 percent
Step-by-step explanation:
From the question, the total number of sample is 100 that is hundred(100) people . Eighty (80) people from the sample are in favour of candidate A.
Therefore, the mean statistic is one(1), that is, 0.8+0.05+1.15+2.00= 1.
So, total number from the hundred people supporting Candidate A divided by the total number of sample of the population multiply by a 100 percent;
= 80/100 × 100= 80%.
80% which is greater than 75%
Answer:ANSWER: $35 + (-$7) + (-$5)
Step-by-step explanation:
Total - book $ - magazine $
Which is equal to:
Total + (-book $) + (-magazine $)
$35 + (-$7) + (-$5)
Hope this helps! :)
<h2><em>What is (2/x^2)^3 reduced to simplest form ?</em></h2>
<em>A. 8x^-6 </em>
<em>B. 8x^6</em>
<em> C. 6/x^6</em>
<em> <u>D. 8/ x^6</u></em>
<em><u>hope </u></em><em><u>it</u></em><em><u> helps</u></em>