Question

Select the correct location in the expression.

Consider this expression.
4x^4-6x^3+6x+3/x-3
Which term in the quotient of this expression contains an error?

Answer 1

78

Correct term:60

Explanation:

We are given that

`(4x^4-6x^3+6x+3)/(x-3)`

The quotient of this expression is given by

`4x^3+6x^2+18x+78+(183)/(x-3)`

We have to find the term in this expression which contains an error.

`(4x^4-6x^3+6x+3)/(x-3)`

The quotient of this expression is given by

`=4x^3+6x^2+18x+60`

`Dividend=Divisor* quotient+ remainder`

Using the formula

`4x^4-6x^3+6x+3=(x-3)(4x^3+6x^2+18x+60)+(183)/(x-3)`

We can see that in the given expression there is 60 in place of 78.

The error in the expression of quotient is 78.

Correct term is 60.