Exercise
$f\left(x\right)=\frac{3x^2+x-2}{\sqrt{3x-1}-1}$
Step-by-step Solution
Learn how to solve factorization problems step by step online. Simplify the expression f(x)=(3x^2+x+-2)/((3x-1)^(1/2)-1). Factor the trinomial 3x^2+1x-2 of the form ax^2+bx+c, first, make the product of 3 and -2. Now, find two numbers that multiplied give us -6 and add up to 1. Rewrite the original expression. Factor 3x^2+3x-2x-2 by the greatest common divisor 3.
Simplify the expression f(x)=(3x^2+x+-2)/((3x-1)^(1/2)-1)
Final answer to the exercise
$f\left(x\right)=\frac{\left(x+1\right)\left(3x-2\right)}{\sqrt{3x-1}-1}$