Question

What is the quotient of 3x^4+22x^3+37x^2-7x+10

Answer 1

The quotient of given expression is
`3 x^2 + 43 x + 271`.

Explanation:

The given expression is

`(3x^4+22x^3+37)/(x^2-7x+10)`

In the given expression

`Dividend=3x^4+22x^3+37`

`Divisor=x^2-7x+10`

Use long division method to find the quotient.

`(3x^4+22x^3+37)/(x^2-7x+10)=3 x^2 + 43 x + 271+(1467 x - 2673)/(x^2-7x+10)`

Therefore the quotient of given expression is
`3 x^2 + 43 x + 271`.