High School Math Question! Help!?

Question

I've totally forgotten how to do these simple questions after returning to school from summer break. D:

Simplify (1/x+1) / (1/x)

and

Find the roots of the polynomial y= .1x^4+2x^3-x^2-3 to the nearest thousandths place.

I could really use an explanation...

Answer 1

the first one

(1/x + 1)/ 1/x

so youre gonna multiply the first by x so that it has a commen denominator of x so you get x + 1/x

then multiply that by the reciprocal of the second number

so its be      x +1/x  X  x/1

you cross cancel the x's

and get x + 1

the second one..

simplified to  x^4 + 2x^3 - X^2 - 3= 0

then add 3

x4+2x3-x2=3

then take out 2 x's

x2(x2+2x-1)= 0

then factor

x2(x+2)(x-1)

so 0, -2, and 1

but i think i did it differently O.o

so i may be wrong

Answer 2

I don't know the answer for the 2nd question, but here is the answer for the 1st question.

(1/x+1) / (1/x) equals

(1/x+1) * (x/1) equals

(x) / (x+1)

Hope this helps!