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Definition--Polynomial Concepts--Factored Quadratic

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# Factored Quadratic

## Topic

Polynomials

## Definition

A factored quadratic is a second-degree polynomial expressed as the product of its linear factors.

## Description

Factoring quadratic polynomials is a key concept in algebra that simplifies solving quadratic equations and analyzing their properties. A factored quadratic reveals the roots of the equation, which are the x-intercepts of its graph. This form is particularly useful in solving equations, graphing quadratic functions, and understanding the behavior of parabolas.

Mastering the factoring of quadratics involves recognizing patterns such as perfect square trinomials, difference of squares, and applying the quadratic formula. This skill is essential for progressing to more advanced topics in algebra and calculus. In practical applications, factored quadratics are used in physics, engineering, and economics to model and solve problems involving quadratic relationships. Understanding factored quadratics enhances problem-solving abilities and provides a foundation for more complex polynomial operations.

For a complete collection of terms related to polynomials click on this link: __Polynomials Collection__

Common Core Standards | CCSS.MATH.CONTENT.HSA.APR.A.1, CCSS.MATH.CONTENT.HSA.APR.B.2, CCSS.MATH.CONTENT.HSA.APR.C.5, CCSS.MATH.CONTENT.HSA.APR.C.4, CCSS.MATH.CONTENT.HSA.APR.B.3, CCSS.MATH.CONTENT.HSF.IF.C.7.C |
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Grade Range | 8 - 12 |

Curriculum Nodes |
Algebra• Polynomials• Factoring Polynomials |

Copyright Year | 2021 |

Keywords | polynomials, monomials, definitions, glossary term |