X 3 13x 2 32x 20 Divided By X 1
Put x 1 1 3 13 1 2 32 1 20 33 33 0 hence x 1 is a zero.
X 3 13x 2 32x 20 divided by x 1. The factor theorem states that if p q is root of a polynomial then this polynomial can be divided by q x p note that q and p originate from p q reduced to its lowest terms in our case this means that x 3 13x 2 32x 20 can be divided by 3 different polynomials including by x 10. Factorise x 2 12x 20 x 2 2x 10x 20. So the second factor can itself be factored. 2 4 polynomial long division.
Oh and for ゑぶ だしιての サふひウのトの ナんミ モ. Polynomial long division. 3 5 polynomial long division. Not only that but the rest of the bottom row tells us the other factor.
Since the sum of the coefficients of alternate terms is equal. As you can see we get the same answer either way. The remainder is in the lower right corner. Given a function displaystyle f x x 3 13x 2 32 x 20 we need to factorize it.
Divide x 3 13x 2 32x 20 by x 1 quotient x 2 12x 20 step 3. Polynomial long division. Iow x 1 or x 1 is a factor. The zero remainder tells us that x 1 divided evenly.
X 3 13x 2 32x 20 solution. Use the rational root theorem for one of two simple roots and divide down to get quadratic factors root 1 is 1.