SOLUTION: Essay: Show all work. Find the quotient: (y^4 + 7y

Click here to see ALL problems on Polynomials-and-rational-expressions

Question 473787: Essay: Show all work. Find the quotient: (y^4 + 7y - 2) / (y^2 + 2)
Found 2 solutions by rfer, aib31180:
Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website!
y^2-2 R=7y+2

Answer by aib31180(4) (Show Source):
You can put this solution on YOUR website!
(y^4 + 7y - 2) / (y^2 + 2)

>>>>>>>>>__y^2____________- 2_____
y^2 + 2 | y^4 + 0^3 + 0^2 + 7y - 2
>>>>>>>>>>y^4 + 2y^2
>>>>>>>>>>-----------------
>>>>>>>>>>>>>>>>>>>>-2y^2 + 7y - 2
>>>>>>>>>>>>>>>>>>>>-2y^2 + 0y - 4
>>>>>>>>>>>>>>>>>>>>--------------
>>>>>>>>>>>>>>>>>>>>>>>>>>>>7y + 2
.
The answer is y^2 - 2 + (7y + 2 / y^2 + 2).
.
Check:
(y^2 + 2)(y^2 - 2)+ 7y + 2
(y^2)(y^2) + (y^2)(-2) + (2)(y^2) + (-2)(2) + 7y + 2
y^4 - 2y^2 + 2y^2 - 4 + 7y + 2
y^4 + 7y - 2 YES

SOLUTION: Essay: Show all work. Find the quotient: (y^4 + 7y - 2) / (y^2 + 2)