Simplifying Ratio of Polynomials Calculator
Result
What is Simplifying Ratio of Polynomials Calculator?
A polynomial ratio (rational expression) has polynomials in both the numerator and denominator. To simplify, factor both and cancel common factors.
Simplifying (6x² + 12x) / (3x)
1
Factor numerator
6x(x + 2)
→
2
Cancel 3x
6x/3x = 2
→
✓
Result
2(x + 2)
Simplifying Ratio of Polynomials Calculator Formula
Several methods can help factor polynomials for simplification.
GCF Factoring
Pull out the largest common monomial
Difference of Squares
a² − b² = (a+b)(a−b)
Trinomial Factoring
ax² + bx + c into two binomials
Worked Examples
Practice with these common polynomial ratio simplifications.
(x²−4)/(x+2)
= x − 2
Difference of squares
(4x³)/(2x)
= 2x²
Monomial division
(x²+5x+6)/(x+3)
= x + 2
Factor trinomial
FAQ
FAQ: Polynomial Ratios
Simplifying complex polynomial and rational expressions.
Factor both the numerator and the denominator completely. Then, cancel out any common binomial or monomial factors.
A rational expression is simply a ratio where both the numerator and denominator are polynomials.