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

##### 1 Answer

Dec 18, 2015

Solution:

#### Explanation:

Polynomial long division like so

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

**Step 2** : Start diving. Ask yourself how many time is

**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) = 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) :}#