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And remember, the type of synthetic division we're doing, it only applies when we are dividing by an x plus or minus something In synthetic division , you don't need to calcutate the nth power of some base, but you multiple one number. There's a slightly different process you would have to do if it was 3x.
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Sal explains why synthetic division gives you the same result as traditional algebraic long division Don't you think synthetic division is faster than the polynomial remainder theorem Learn how to use synthetic division as another approach to solve polynomials
Multiplying monomials by polynomials factoring and the distributive property 3 synthetic division copy link
But what we're going to cover in this video is a slightly different technique, and we call it synthetic division And synthetic division is going to seem like a little bit of voodoo in the context of this. Divide the given polynomial by the given binomial using synthetic division and rewrite the function If there is no remainder, write 0.
It's a neat trick to quickly find remainders. Rewrite expressions of the form a(x)/b(x), where a is a polynomial b is a linear binomial, in the form q(x)+r(x)/b(x), where q and r are polynomials and the degree of r is less than the degree of b. Learn synthetic division of polynomials through interactive lessons and examples on khan academy.
