It takes some trial and error
To find the factored form, you know that the format will look like
(x^n +/- a) (x^n +/- b)
Since the expanded form has x^4, the first part of each expression in parentheses will be x^2 because x^2 * x^2 will give you x^4
Then you have to figure out, how will you get -9 in the expanded form? The "a" and "b" parts of each expression will have to multiply to equal -9.
Factors of -9 will be -3*3 or -1*9 or -9*1
Also, consider the 8x^2 part - as it relates to finding the factors of 9. The parts of the expression that result in 8x^2 in the expanded form ...
a*x^2 + b*x^2 = 8x^2
If you think about this, you know the a and b will = -1 and 9 because you also have to add the expressions with x^2 to get 8x^2, and 3 and 3 would not give you the 8x^2 and neither would nor would -9 and 1.
Final factored form is
(x^2 - 1) (x^2 + 9)
The answer is 3/4. Hope I was able to help
Answer: The world's population in 2015 would have been 7.333 billion.
Step-by-step explanation:
- Since the increase in population is an exponential one. It then follows a geometric progression defined by,
= 
- Where
is the nth term, <em>a</em> is the 1st term, <em>r</em> is the common ratio.
- Therefore, the population in <u>1998</u> is the <u>first term</u> <em>a</em> = 5.937 billion. The population in <u>2014</u> corresponds to the <u>17th term </u>(i.e., <em>n </em>= 17) = 7.238 billion.
Hence,
= 
7.238 billion = 5.937 billion × 
= (7.238 billion) ÷ (5.937 billion)
= 1.219
<em>r</em> = ![\sqrt[16]{1.219}](https://tex.z-dn.net/?f=%5Csqrt%5B16%5D%7B1.219%7D)
<em>r</em> = 1.0125
To get the population in 2015, which is the 18th term. We use
= 
= 5.937 billion × 
= 5.937 billion ×
= 5.937 billion × 1.235
= 7.333 billion
10(6)=60
3(6.75)=20.25
6(2.75)=16.5
60+20.25+16.5=96.75