Factoring: How does (3x3-2x2+x-3) / (x+2) equal 3x2-8x+17+ -37/(x+2) ?

[helpmepls!]

How does (3x³-2x²+x-3) / (x+2)
equal 3x²-8x+17+ -37/(x+2) ??

 

[mmm4444bot]

How does (3x³ - 2x² + x - 3) / (x+2)
equal 3x² - 8x + 17 - 37/(x+2) ??

I inserted the missing grouping symbols.

We can divide (3x^3 - 2x^2 + x - 3)/(x + 2) longhand, using polynomial division (google it, if you need to find lessons and examples).

The divisor is x + 2, and the quotient is 3x^2 - 8x + 17; the remainder is -37.

We express the answer to a division problem as: quotient + remainder/divisor. :cool: