Problem below. Is this the correct answer y = 2x + 3 ?

Question

f(x) = 2x^3 + x^2 - 1 and g(x) = x^2 - x + 1. Let r(x) = [f(x)]/[g(x)] . Then the graph of r(x) has a slant asymptote of the form

y= 2x + 3

other possible solutions
y = 2x + 4
y = 2x + 2
y = 2x - 1

Answer 1

r(x) = [ 2x^3 + x^2 - 1] / [ x^2 - x + 1 ] let us do the division ...
r(x) = [ 2x^3 + x^2 ] / [ x^2 - x + 1 ] - 1 / [ x^2 - x + 1 ]
r(x) = 2x [ x^2+x/2 ] / [ x^2 - x + 1 ] - 1 / [ x^2 - x + 1 ]
r(x) = 2x [ x^2-x+1+3x/2-1 ] / [ x^2 - x + 1 ] - 1 / [ x^2 - x + 1 ]
r(x) = [ 3x^2-2x ] / [ x^2 - x + 1 ] -1/ [ x^2 - x + 1 ] +2x
r(x) = 3 [ x^2-x+1+1x/3-1 ] / [ x^2 - x + 1 ] -1/ [ x^2 - x + 1 ] + 2x
r(x) = [ x-4 ] / [ x^2 - x + 1 ] + 2x+3
so your solution 2x+3 was correct.

Answer 2

I hate at the same time as human beings promise 10 factors and then pi r squared gave a tremendous answer and no 10 factors. besides, You requested for fashions. for this reason, a million-2 are all in accordance to a standard 2 fee advise. (sixty 4+128)/2 = ninety six it truly is what both aspect ended up. (ninety 5+157)/2 = 126 it truly is the quantity they desire to finally end up with. 4 is likewise a standard advise + 2.5 books. (fifty 5+100)/2 = seventy seven.5 which means that the answer is eighty and seventy 5. issues 3 and 5 have slightly more advantageous algebra in them and prefer I stated, pi r squared already gave an excellent answer.

Answer 3

I got 3 * 2 - 1 = 5

Answer 4

Correct. y=2x+3

divide f(x) by g(x) to find slant asymptote

Answer 5

y= 2x-1

Instead of asking here just multiply both and check

Answer 6

Yes.

Answer 7

YOu are wrong ... besides, do your homework yourself. By guessing and asking others to find a solution, you don't learn anything.

Answer 8

god my brain hurts!