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
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...
Curated Video
Describe an advanced data structure : Find the Factorial with a Given Number of Zeros
From the section: Doing a Lot with Very Little. In this section, we will explore some problems that look difficult to solve efficiently at first sight. You might think that they require some advanced logic or data structures, but in fact...
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...
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
Introduction to Coding: The Language of Computers
Coding is the language that powers the technology around us. It's the set of instructions that computers follow to perform their functions. From smartphones and computers to cars and microwaves, code is what makes these devices work.
Brian McLogan
Determining the roots of a quadratic equation by factoring when a is not one
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...
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...
APMonitor
Python 🐍 Curve Fit with Step Test Data
The Scipy curve_fit function determines two unknown coefficients (dead-time and time constant) to minimize the difference between predicted and measured response values. Pandas imports the data and the dataframe header is diplayed with...
Brian McLogan
Using the discriminate to describe the number and type of solutions
👉 Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...
Curated Video
Graphing Quadratic Functions
In this lesson, students will learn how to graph a quadratic function by using the zeros of the function. By understanding the relationship between the area of squares and the zeros of the function, students can easily plot points on a...
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...
msvgo
Multiply 3-Digit Numbers
This nugget shows how to multiply three-digit numbers by two-digit numbers.
Brian McLogan
Given a list of three zeros find the factors of the 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...
Curated Video
Finding X Intercepts of Polynomial Functions by Analyzing Factors
This video explains the concept of X intercepts and their relationship to the factors of a polynomial function. They demonstrate how to find the X intercepts graphically and algebraically by setting the function equal to zero and...
Brian McLogan
Learn to find the zeros of a quadratic using the 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...
Curated Video
Finding Zeros of Quadratic Functions with Tables of Values
In this video, the teacher explains how to find the zeros of quadratic functions by analyzing tables of values. They use examples of toy rockets, soccer balls, and baseballs to illustrate the concept. The teacher emphasizes the...
Brian McLogan
Overview of solutions of a quadratic function and the discriminant
👉 Learn all about the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type of...
Brian McLogan
Learn how to solve a quadratic equation using the 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...
Curated Video
Mastering Quantitative Skills for Economics
The video discusses the essential quantitative skills that modern-day economists should possess to successfully handle and interpret data and statistics related to economies, trade figures, and budget figures. The video goes over various...
Brian McLogan
How to use the quadratic formula to solve a quadratic equation
👉 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...
Curated Video
Factoring Quadratic Functions: Finding Zeros of Difference of Two Squares
In this video, the teacher explains how to identify the zeros of a quadratic function that is a difference of two squares by factoring. They provide examples and explain the concept of zeros being the input values that make the function...
Brian McLogan
How to apply the remainder theorem by evaluating and synthetic division
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
How to determine the extrema and zeros from the graph of a polynomial
👉 Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...