What is the quotient when 4x2 36 is divided by x 3?

Answer 1

To find the quotient when 4x^2 - 36 is divided by x - 3, you can use polynomial long division. First, divide 4x^2 by x to get 4x, then multiply x - 3 by 4x to get 4x^2 - 12x. Next, subtract 4x^2 - 12x from 4x^2 - 36 to get -12x - 36. Since -12x does not have a term with x - 3, the quotient is 4x.

Answer 2

4x^2 - 36 = 4(x^2- 9) = 4(x + 3)(x - 3)

Whatever that second term is will cancel out one of the terms in the numerator, leaving you either 4x + 12 or 4x - 12