Question

Rewrite (6x3 + 9x2 + 7)/(2x3 + 3x2) in the form q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.

Answer 1

Given:

There is an expression given as below

`(6x^3+9x^2+7)/(2x^3+3x^2)`

Required:

We need to convert the given expression in form of q(x) + r(x)/b(x) where q(x) = quotient, r(x) = remainder, and b(x) = divisor.

Step-by-step explanation:

Simplify the given equation

`(6x^3+9x^2+7)/(2x^3+3x^2)=(6x^3+9x^2)/(2x^3+3x^2)+(7)/(2x^3+3x^2)`

Simplify as

Final answer:

`3+(7)/(2x^(3)+3x^(2))`