I need help on doing division 😪😪

Answer 1

3 ways to do algebraic division

long division, synthetic division and cancel factors

if the dividend divided by the divisor comes out even, then you can factor.

for example: divide x-1 into x^2-1 to get x+1

x^2-1 factors into (x-1)(x+1).

so the division problem is (x2-1)/(x-1) = (x-1)(x+1)/(x-1) = x+1, by cancelling the factors that are equal in numerator and denominator

long division is very similar to long division in arithmetic

x +1

x-1 |x^2 +0 -1

x^2 -x

x - 1

x - 1

0

divide x into x^2, the highest powered term in the divisor and the dividend, to get x

multiply x times the divisor. subtract from x^2 (leave a space or a 0 in the divident for any missing term

subtract to get x. 0- -x = +x

divide x into x to get 1 in the quotient

1 times x-1 = x-1. subtract x-1 minus x-1 = 0. 0 is the "remainder" the division came out even

you can use long division or sythetic division They're very similar. only sythetic division uses just the coefficients, which makes it a little more simple, but instead of subtracting like in long division, you add

-1| 1 0 -1

-1

1 -1 1

0

1 -1 0 are coefficients and the remainder

x -1 and no remainder when x+1 is divided into x^2-1