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Chapter 0: Problem 113

Factor completely. $$2 x^{2}-7 x y^{2}+3 y^{4}$$

Short Answer

Expert verified
The polynomial \(2 x^{2}-7 x y^{2}+3 y^{4}\) is already completely factored.

Step by step solution

01

Identify the Greatest Common Factor (GCF)

To factor completely, we first look for the greatest common factor (GCF) of all terms. In this case, there are no common factors among all terms other than 1.
02

Identify the form of the equation.

The equation given is of the form \(ax^{2} + bxy^{2} + cy^{4}\), which is a trinomial expression. Since the terms don't have a common factor and the expression is not a perfect square, it cannot be factored using basic methods. Therefore, we can conclude that this equation is already completely factored and cannot be factored further.

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Most popular questions from this chapter

What is a rational expression?

Perform the indicated operations. Simplify the result, if possible. $$\left(2-\frac{6}{x+1}\right)\left(1+\frac{3}{x-2}\right)$$

This will help you prepare for the material covered in the next section. Multiply and simplify: \(12\left(\frac{x+2}{4}-\frac{x-1}{3}\right)\).

Perform the indicated operations. Simplify the result, if possible. $$\left(4-\frac{3}{x+2}\right)\left(1+\frac{5}{x-1}\right)$$

Write a quadratic equation in general form whose solution set is \(\\{-3,5\\}\).
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