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Find the break even points of the polynomial $\frac{12x^3-6x^2+3}{-4x+1}$ by putting it in the form of an equation and then set it equal to zero
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$\frac{12x^3-6x^2+3}{-4x+1}=0$
Learn how to solve classify algebraic expressions problems step by step online. Find the break even points of the expression (12x^3-6x^2+3)/(-4x+1). Find the break even points of the polynomial \frac{12x^3-6x^2+3}{-4x+1} by putting it in the form of an equation and then set it equal to zero. Factor the polynomial 12x^3-6x^2+3 by it's greatest common factor (GCF): 3. Multiply both sides of the equation by -4x+1. We can factor the polynomial \left(4x^{3}-2x^2+1\right) using the rational root theorem, which guarantees that for a polynomial of the form a_nx^n+a_{n-1}x^{n-1}+\dots+a_0 there is a rational root of the form \pm\frac{p}{q}, where p belongs to the divisors of the constant term a_0, and q belongs to the divisors of the leading coefficient a_n. List all divisors p of the constant term a_0, which equals 1.