Brian McLogan
Factor out a fraction to complete the square and find the vertex
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Master how to solve a rational equation Part 3
Master how to solve a rational equation Part 3
Brian McLogan
Master Determining all of the solutions of a polynomial given a factor, real rational zero, or root
Master Determining all of the solutions of a polynomial given a factor, real rational zero, or root
Brian McLogan
Zeros and multiplicity of a polynomial to the third power
π 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
Math Tutorial for Solving a Radical Equation by Applying Factoring Root
π Learn how to solve radical (square root) equations having one radical term. To solve a radical (square root) equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of...
Curated Video
Expanding and Simplifying Expressions and Using the Quadratic Formula
This video shows the process for working through two problems. The first shows how to expand and simplify an expression using the FOIL method. The second problem requires the proper use of the quadratic formula to solve an expression....
Brian McLogan
How do you solve rational equations
π Learn about solving rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational equations, one of...
Brian McLogan
Complete the square to identify the vertex, axis, domain and range of a quadratic equation
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
How to factor out the GCF of an expression - Free Math
In this video tutorial I will show you how to factor out the GCF of an expression. We do this by first defining the GCF of the expression as the term with common elements with every term in the expression. We then divide every term by...
Brian McLogan
Master how to factor a higher order polynomial by grouping
Master how to factor a higher order polynomial by grouping
Brian McLogan
Solving a Radical Equation Using Factoring and Checking Your Answers
π Learn how to solve radical (square root) equations having one radical term. To solve a radical (square root) equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of...
Curated Video
Data Structures and Algorithms The Complete Masterclass - Big O(n^2) Complexity
This video explains big O (n^2) complexity. This clip is from the chapter "Big O Notation" of the series "Data Structures and Algorithms: The Complete Masterclass".This section introduces you to big O notation in data structures.
Curated Video
Solving for Unknown Lengths in Circles
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 2H Q22, which involves solving for unknown lengths in circles. Students will understand the properties of circles and how they relate to solving...
Curated Video
Circle Geometry: Finding the Length of a Chord and Solving Quadratic Equations
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 1HR Q16, which involves finding the length of a chord. By the end of the video, learners will understand the properties of circles and how to use...
Curated Video
Solving Simultaneous Equations with Algebraic Techniques
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 2HR Q18, which involves simultaneous equations. By using algebraic manipulation and substitution, we will work through the steps to find the...
Curated Video
Solving Quadratic Inequalities Using the Quadratic Formula
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 2HR Q20, which involves quadratic inequalities. We will solve the inequality step-by-step, showing how to use the quadratic formula to find the...
Brian McLogan
Given a factor or zero find all the remaining zeros
Given a factor or zero find all the remaining zeros
Brian McLogan
Finding the domain range and graphing a quadratic
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Determining the quadratic equation given a vertex and a point
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
KnowMo
Understanding Inequalities: Representing and Solving on a Number Line and Graph
This is a tutorial video on understanding inequalities in mathematics. The video covers the symbols for inequalities, representation of inequalities on a number line, solving linear inequalities, solving quadratic inequalities, and...
Brian McLogan
What do the number of zeros tell us about the degree of a polynomial
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Brian McLogan
Solving using the quadratic equation - Math test answers - Math help
πLearn 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...
Brian McLogan
Summary for solving a quadratic by the quadratic formula
π Learn all about the quadratic formula. The quadratic formula is a formula which can be used to find the roots of (solve) a quadratic equation. The quadratic formula is given by x = (-b +/- sqrt(b^2 - 4ac)) / 2a, where a is the...
Brian McLogan
Solving a polynomial to determine the zeros compared to factors
πLearn 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...