Solving Polynomial Equations by Factoring 5th P

Front

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.

Front

What does it mean to factor a polynomial?

Back

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

Front

What is the zero-product property?

Back

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.

Tags

CCSS.HSA-REI.B.4B

Front

How do you solve a polynomial equation by factoring?

Back

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.

Tags

CCSS.HSA-REI.B.4B

Front

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).

Tags

CCSS.HSA.APR.C.4

Front

What is the sum of cubes formula?

Back

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

Tags

CCSS.6.EE.A.2C

Front

What is grouping in polynomial factoring?

Back

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

Front

What are the steps to factor by grouping?

Back

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

Front

What is a root of a polynomial?

Back

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

Tags

CCSS.HSF-IF.C.7C

Front

How do you find the roots of a polynomial equation?

Back

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

Tags

CCSS.HSA-REI.B.4B