Question

How do you divide `(5x^3 - 7x^2 + 14) / (x^2 - 2)`?

Answer 1

Solution: `(5x+3) +(6x+14)/(x+2)` or

`(5x+3) +(2(3x+7))/(x+2)`

Explanation:

Polynomial long division like so

Step 1 : Write the numerator in descending order, place wherever there is a missing variable, like `0x`

Step 2 : Start diving. Ask yourself how many time is `(5x^3)/x^2`

Step 3: Multiply the quotient from step 2, to the divisor and subtract form dividend.

Repeat step 2 and 3 until we can't divide any more.

The quotient for polynomial division is `Q(x) +(R(x))/(d(x))`

Q(x) = Quotient
R(x) = Remainder
d= divisor

`{: (,,5x,+3,,), (,,"-----","-----","-----","-----"), (x^2-2,")",5x^3,-7x^2,+0x,+14), (,,5x^3,-10x^2,,), (,,"----","-----",,), (,,,3x^2,+0x,), (,,,3x^2,-6x,), (,,,"-----","----",), (,,,,6x,+14) :}`