👉 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 write the equation of a polynomial when given imaginary 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...

👉 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...

In this video, the teacher explains how to subtract polynomials by changing subtraction to addition. They review the concept of subtracting as adding the opposite and the distribution property. The teacher also emphasizes the importance...

👉 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...

In this video, the teacher explains how to solve polynomial equations using the 0 product property and factoring polynomials completely. The focus is on finding the zeros or roots of the function, which are the points where the function...

Master finding all of the zeros of a polynomial rational, irrational and complex using synthetic

👉 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 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...

Calc Unit 8 Evaluate the Limit using L'Hopital's Rule

Solutions to Problem 12.

This video is an algebra 1 lesson on factoring a polynomial in the form x squared plus bx plus c. The teacher explains how to factor polynomials, using the algebraic variables p and q, and how to identify special characteristics of...

👉 Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as a single term. Then, we express the single...

The video is a lecture presentation on algebraic simplification, focusing on addition, subtraction, and multiplication of algebraic terms. The speaker presents two functions, F of X and G of X, and demonstrates how to apply various...

👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...

This video is a lecture presentation on algebraic division, specifically using long division to divide polynomials by a linear expression. The instructor explains the cover up system and demonstrates how to use it to solve two examples -...

Multiplicity matters - Real zeros of polynomial functions

👉 Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...

Solutions to Problem 8.

By breaking down an equation into simpler terms, known as factors, and multiplying them together, students can find the original polynomial. This method involves finding two numbers that add up to the linear term and multiply to the...

Exam Review Understanding roots, zeros, factors of a polynomial

👉 Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...