How do you divide #(8x^3+5x^2-12x+10)/(x^2-3)#?
1 Answer
Explanation:
I like to long divide just the coefficients, not forgetting to include
The process is similar to long division of numbers.
Write the dividend under the bar and the divisor to the left.
Write the first term
Write the product
Bring down the next term from the dividend alongside it, then choose the next term
Write the product
There are no more terms to bring down from the dividend and the remainder is now shorter than the divisor, so this is where we stop.
Our quotient is
So:
#(8x^3+5x^2-12x+10)/(x^2-3) = 8x+5 + (12x+25)/(x^2-3)#