Answer:
f(x) = (x -2)(x -1+3i)(x -1-3i)
Step-by-step explanation:
You can use synthetic division to find the remaining quadratic factor in the cubic. Then any of the usual means of solving the quadratic will help you find its linear factors.
In the attached, I show the synthetic division, the factoring to real numbers, and the solution that finds the complex linear factors by completing the square.
Of course, you know that for zeros a, b, and c, the linear factors are ...
f(x) = (x -a)(x -b)(x -c)
Here, we have a=2, b=1-3i, c=1+3i.
f(x) = (x -2)(x -1+3i)(x -1-3i)
1st integer: x
2nd integer: x+2
Multiply them: x(x+2)=440
X^2+2x-440=0
Use the quadratic formula
x=-22 or x=20
Since x must be a positive integer number, x=20.
Answer:
1st: 20.
2nd: 22
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The midpoints between 4 and 8 would be 6 because 4 5 6 7 8, the middle term is 6
1 3/7 ~ One and three sevenths
Answer:
75 miles
Step-by-step explanation:
We are given the scale on the map, which is that 1 inch is 25 miles in real life. We can write that as a ratio of 1 inch: 25 miles. Now say we have two inches, then we have 50 miles because we add on another 25 miles, then we do that again and we get to 75 miles.
Another way to think about it (more complicated):
you can represent ratios as a fraction
so we do 1/25=3/x
To find x, we can do (25*3)/1 which equals 75, if you don't know what I did there then you don't know, sorry!
you can also do it in a different way
same scenario though
you represent it as a fraction
and do 1/25=3/x. We see that the ratio from 1 to 3 is multiplied by 3 so that means the ratio from 25 to x is also going to be multiplied by 3, and 25 multiplied by 3 is 75.
Please let me know if you have any questions.
