How do you divide #(x^3-11x^2+22x+40)div(x-5)# using synthetic division?
The coefficients of the first polynomial become the dividend.
The "zero" of the second polynomial becomes the divisor. In other words, solve
To do synthetic division, "pull down" the first coefficient (
Write the product (
Multiply the divisor by the new number under the line.
Write the product (-30) under the next coefficient and add
Continue as above. The remainder is zero.
Then, use the numbers you've written under the line as the coefficients of the quotient. Start with a variable of degree one less than the degree of the dividend.
The quotient is:
The last term represents the remainder and is equal to zero.
Thus, the quotient is: