Front

What is synthetic division and when is it used?

Back

Synthetic division is a simplified form of polynomial long division. It is used to divide a polynomial by a linear factor of the form (x - c).

Tags

CCSS.HSA.APR.D.6

Front

How do you factor a polynomial by grouping?

Back

To factor by grouping, you group terms in pairs, factor out the common factors from each pair, and then factor out the common binomial factor.

Front

What are the steps to find the zeros of a polynomial function?

Back

1. Set the polynomial equal to zero. 2. Factor the polynomial if possible. 3. Use the zero-product property to solve for the variable.

Tags

CCSS.HSF-IF.C.7C

Front

What is the zero-product property?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials or numbers.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms, from the highest degree to the lowest.

Front

How do you solve a quadratic equation by factoring?

Back

To solve a quadratic equation by factoring, express the equation in the form ax^2 + bx + c = 0, factor it into (px + q)(rx + s) = 0, and then use the zero-product property.

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree. It determines the end behavior of the polynomial function.

Front

What is a polynomial equation?

Back

A polynomial equation is an equation that equates a polynomial expression to zero, typically in the form P(x) = 0.

Front

What are the different methods to solve polynomial equations?

Back

Methods include factoring, synthetic division, the quadratic formula, and graphing.

Tags

CCSS.HSA-REI.B.4B