Solving Polynomial Equations by Factoring 5th P

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What is a polynomial equation?

Back

A polynomial equation is an equation that involves a polynomial expression, which is a mathematical expression consisting of variables raised to whole number powers and coefficients.

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What does it mean to factor a polynomial?

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Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

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What is the zero-product property?

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The zero-product property states that if the product of two or more factors is zero, then at least one of the factors must be zero.

Front

How do you solve a polynomial equation by factoring?

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To solve a polynomial equation by factoring, first factor the polynomial into simpler expressions, then set each factor equal to zero and solve for the variable.

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What is the difference of cubes formula?

Back

The difference of cubes formula states that a^3 - b^3 = (a - b)(a^2 + ab + b^2).

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What is the sum of cubes formula?

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The sum of cubes formula states that a^3 + b^3 = (a + b)(a^2 - ab + b^2).

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What is grouping in polynomial factoring?

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Grouping is a method of factoring where terms are grouped together in pairs or sets to factor out common factors.

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What are the steps to factor by grouping?

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1. Group terms with common factors. 2. Factor out the common factor from each group. 3. Factor out the common binomial factor.

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What is a root of a polynomial?

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A root of a polynomial is a value of the variable that makes the polynomial equal to zero.

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How do you find the roots of a polynomial equation?

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To find the roots of a polynomial equation, factor the polynomial and use the zero-product property to solve for the variable.