The Structure of Expression Review Task Cards

Front

What is a leading coefficient in a polynomial expression?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial expression.

Front

How do you convert centimeters to miles?

Back

To convert centimeters to miles, divide the number of centimeters by 160,934.

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.

Front

What is the degree of the polynomial 4y^3 + 12y^2 - 3y + 14?

Back

The degree of the polynomial is 3, which is the highest exponent of the variable y.

Front

How do you find the product of two polynomials?

Back

To find the product of two polynomials, use the distributive property (FOIL method for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more terms.

Front

What does it mean for a polynomial to be in factored form?

Back

A polynomial is in factored form when it is expressed as a product of its factors.

Front

What is the process for simplifying a polynomial expression?

Back

To simplify a polynomial expression, combine like terms and arrange the terms in descending order of their degrees.

Front

What is the significance of the constant term in a polynomial?

Back

The constant term is the term in a polynomial that does not contain any variables; it represents the value of the polynomial when all variable terms are set to zero.

Front

How do you identify the roots of a polynomial?

Back

The roots of a polynomial are the values of the variable that make the polynomial equal to zero.