How many inches are in 508 centimeters?
1 answer:
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If -3+5i is a solution, then by the conjugate root theorem, -3-5i is also a solution. We find the polynomial by multiplying together the factors. If x = -4, then x + 4 is the factor. If x = -3+5i, then (x-(-3+5i)) is a factor, and so is (x-(-3-5i)). Simplifying those down gives us as the first factor as (x+3-5i) and the second as (x+3+5i). We can FOIL those 2 together to get their product, and then FOIL in x+4. FOILing the 2 complex factors together gives us . If we combine like terms and cross out things that cancel it's much easier than what it looks like there! It simplifies down to
. Since i^2 = -1, it simplifies further to
and finally, to
. Now we will FOIL in x+4.
. Our final simplified third degree polynomial is
To find y you need to insert x into the equation. The equation is y=2x+2, so insert the x on the table to find the y.
y=2(-4)+2=-6
y=2(-2)+2=-2
y=2(0)+2=2
y=2(1)+2=4
y=2(3)+2=8
These follow the equation's rule so it is correct.
Two plot the values of x and y you need to put it in (x,y) then plot it. Then you can check it by using the equation, y=mx+b, the b is the y intercept, so check to see if it starts there, and then check and see if it followings the slope
(-4, -6), (-2, -2), (0, 2), (1, 4), (3, 8)
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)
- Cutiepatutie ☺❀❤
