Exercise
$\frac{4x^4-3x^2+5x-7}{2x^2+x-3}$
Step-by-step Solution
Learn how to solve one-variable linear inequalities problems step by step online. Simplify the expression (4x^4-3x^25x+-7)/(2x^2+x+-3). Factor the trinomial 2x^2+1x-3 of the form ax^2+bx+c, first, make the product of 2 and -3. Now, find two numbers that multiplied give us -6 and add up to 1. Rewrite the original expression. Factor 2x^2+3x-2x-3 by the greatest common divisor 2.
Simplify the expression (4x^4-3x^25x+-7)/(2x^2+x+-3)
Final answer to the exercise
$\frac{4x^4-3x^2+5x-7}{\left(x-1\right)\left(2x+3\right)}$