Question

Find the quotient. (2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)

Answer 1

The answer is b.) 2x^3+x^2-4x+3+14/x-2

Answer 2

Answer: Quotient will be

`2x^3+x^2-4x+3`

Step-by-step explanation:

Since we have given that

`f(x)=2x^4-3x^3-6x^2+11x+8`

And

`g(x)=x-2`

We need to divide the f(x) by g(x),

`f(x)=g(x)* (2x^3+x^2-4x+3)+16`

If we equate the above equation with division algorithm which says,

`a=bq+r\\here,\\\\f(x)=g(x)* q(x)+r(x)`

so, Quotient will be

`2x^3+x^2-4x+3`