What is the quotient in simplest form? x2−9x+2÷x−3x2−2x−8

Answer 1

To simplify the expression x^2 - 9x + 2 ÷ x - 3x^2 - 2x - 8, we first factor the numerator and denominator:

Numerator: x^2 - 9x + 2 = (x - 1)(x - 2)
Denominator: x - 3x^2 - 2x - 8 = (x - 4)(x + 2)

Now, we can rewrite the expression as:

(x - 1)(x - 2) ÷ (x - 4)(x + 2)

Since we cannot simplify this any further, the expression x^2 - 9x + 2 ÷ x - 3x^2 - 2x - 8 in its simplest form is:

(x - 1)(x - 2) ÷ (x - 4)(x + 2)