Question

How do you find the quotient `x^2-2x-30div x+7` using long division?

Answer 1

`(x^2-2x-30)-: (x+7) = x-9+33/(x+7)`

Explanation:

Long division of polynomials is similar to long division of numbers...

`color(white)(x+7 " )")underline(" " x^(color(white)(2)) -9color(white)(000000))`
`x+7 " )" " " x^2-2x-30`
`color(white)(x+7 " )" " ") underline(x^2+7x)`
`color(white)(x+7 " )" " " x^2 ) -9x-30`
`color(white)(x+7 " )" " " x^2 ) -9x-63`
`color(white)(x+7 " )" " " x^2 ) bar(color(white)(-9x+.)33color(white)(0))`