we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...

👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...

In this video, the teacher explains how to complete the square in a quadratic expression with a leading coefficient not equal to 1. They demonstrate the process step-by-step, using algebraic methods and examples to help students...

👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...

👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...

👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...

👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...

👉 Learn how to simplify expressions using the quotient rule and the negative exponent rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base...

👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...

👉 Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...

👉 Learn how to use the tools needed to graph a Polynomial function in standard form. The tools we will use to help us graph are end behavior, finding the zeros by factoring synthetic division as well as identify the multiplicity of each...

👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...

👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...

How to graph higher-degree polynomials.

👉 Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...

In this video, the teacher explains how to factor a quadratic function to reveal its zeros. They demonstrate the process step by step and provide examples to illustrate the concept.

In this video, the teacher explains how writing a parabola in vertex form helps solve application problems. They go through the process of completing the square to find the vertex form of a quadratic equation. The video also demonstrates...

Solutions to Problem 19.

In this video, the teacher explains how to graph quadratic equations using vertex form and the leading coefficient. They demonstrate how to complete the square and find the vertex of the equation, and then use the leading coefficient to...

In this lesson, students will learn how to rewrite a trinomial by factoring using grouping. They will review the concept of multiplying linear expressions to get a quadratic expression, and then learn how to factor out the greatest...

An introduction to asymptotes

In this lesson, students will learn about vertical translations in quadratic equations. They will explore different representations of quadratic functions and understand how changes in the equation affect the graph. By examining the...