Brian McLogan
How to write a quadratic of it's factors using quadratic formula
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Math Fortress
Calculus I: Derivatives of Polynomials and Natural Exponential Functions (Level 2 of 3)
This video will teach you the basics of calculating the derivative of simple polynomials and exponential functions using the constant multiple, sum and difference rule.
Brian McLogan
Given rational function find the vertical asymptote and hole
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable...
Curated Video
Writing Equations of Polynomials Using X-Intercepts
In this video, the teacher explains how to write the equation of a polynomial by analyzing its x-intercepts. They demonstrate the process using different graphs and explain the importance of factored form and the multiplication property...
Curated Video
Comparing Polynomial and Exponential Growth: Tables and Graphs
In this lesson, we observe that as X approaches infinity, both polynomial and exponential functions approach infinity. However, through examples and graphs, we discover that exponential functions eventually surpass polynomial functions...
Brian McLogan
Write the equation of a parallel line using point slope form
👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
Given complex zeros write the polynomial
👉 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...
Brian McLogan
Given a Complex Zero Use Synthetic Division to Find All of the Zeros for a Polynomial
👉 Learn how to find all the zeros of a polynomial given one complex 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...
Brian McLogan
How to Find All of the Zeros Including Complex When Given a Polynomial
👉 Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Brian McLogan
Given the Factors Determine All Zeros and Write as a Product of its Factors
👉 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...
Brian McLogan
Learning to find the derivative of a polynomial using sum and difference
👉 Learn how to find the derivative of a function using the power rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative...
Brian McLogan
Solve a quadratic using the quadratic formula with complex answers
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
Finding the Zeros and Multiplicity of a Quadratic Function
👉 Learn how to find all the zeros of a polynomial. 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 polynomial are the values...
Curated Video
Evaluating Polynomials Using Substitution
In this video, the teacher explains how to evaluate polynomials for a given value using substitution. They go through the order of operations and provide examples to illustrate the process.
Brian McLogan
Given One Zero or Factor Find the Remaining Zeros
👉 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...
Curated Video
Completing the Square: Using an Area Model to Rewrite Quadratic Expressions
Learn how to rewrite a quadratic expression so that all of the variable terms are contained in a perfect square. We explore this process using area blocks and show how to complete the square in an expression. We also emphasizes the...
Curated Video
High Performance Scientific Computing with C 1.3: Interpolation and Extrapolation
How can we "fill in" the data points between discrete data? How can we extend beyond our data points? • Learn linear interpolation • Learn polynomial interpolation • See the dangers of extrapolation
Brian McLogan
Learn how to determine concavity of a polynomial function
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Curated Video
Determining the Equation of a Polynomial Graph
In this video, the teacher explains how to determine the equation of a polynomial graph by analyzing its end behavior and zeros. They provide examples and step-by-step instructions, highlighting the importance of understanding...
Brian McLogan
Find All the Remaining Rational Zeros Given One Zero
👉 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...
Brian McLogan
Learn how to write the domain of a rational function using interval notation
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
msvgo
Factor Theorem
This nugget explains the proof of the Factor theorem. It includes problems and their solutions based on the theorem.
Brian McLogan
Given three real zeros, learn how to write the equation of a polynomial
👉 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...