How do you divide: #(x^3 - 6x^2 + 12x - 8) ÷ (x - 2)#?
One way to solve this problem is to perform polynomial long division. We write the polynomial and its divisor down in long division form and work through the normal steps of long division. Then we guess our first term in the quotient, which should subtract from the first term in the dividend shown in
We then repeat this step for the next powers of
Another way to solve this problem is to factor the dividend polynomial to see if there are any factors which are the divisor!
One clue to try this is that the first term in the dividend,
In fact it is - and we can use the intermediate result in red above to find the answer to our question: