ALGEBRA II Mid-Term (Review/Flashcard/Exam)

Front

What is the equation of the line of best fit for a linear regression?

Back

The equation of the line of best fit can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you estimate a value using a linear regression equation?

Back

To estimate a value, substitute the given x-value into the linear regression equation and solve for y.

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial, similar to numerical long division.

Front

What is the vertex form of a parabola?

Back

The vertex form of a parabola is given by y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you factor a polynomial completely?

Back

To factor a polynomial completely, find the greatest common factor and then apply techniques such as grouping, using the difference of squares, or synthetic division.

Front

What defines a polynomial function?

Back

A polynomial function is defined as a function that can be expressed in the form f(x) = a_nx^n + a_{n-1}x^{n-1} + ... + a_1x + a_0, where n is a non-negative integer and a_n is not zero.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

What is the leading coefficient of a polynomial?

Back

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

Front

How do you write a polynomial in standard form?

Back

To write a polynomial in standard form, arrange the terms in descending order of their degrees.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of the dependent variable with respect to the independent variable.