Brian McLogan
Solving a quadratic by completing the square
👉 Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Brian McLogan
Learn how to find the value that makes a perfect square with fractions
👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
Learn how to graph a rational function without any symmetry
👉 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...
Brian McLogan
When Completing the Square Gets Hard | Part #4
In this video we will explore some of the key elements students need to know when completing the square gets more difficult. this deals with fractions 00:00 intro 02:50 x^2-8x=10 05:46 x^2+5x+3 08:18 3x^2=-12x-1 10:57 2x^2+7x-20=0
Brian McLogan
Find the center and radius of a circle by completing the square
Find the center and radius of a circle by completing the square
Brian McLogan
Learn How to Find All Zeros of a Polynomial Using Rational Zero Test and Synthetic
👉 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
Learn how to graph a rational function with a oblique asymptote
👉 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...
Brian McLogan
Learn how to find the value c that completes the square
👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
Learn how to find the domain and range including the vertex and axis of symmetry
👉 Learn how to graph quadratic equations in vertex form. 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...
Brian McLogan
How to write an equation in standard and vertex form given a point and vertex
👉 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...
Brian McLogan
Learn how to solve a rational equation and identify the extraneous solutions
👉 Learn how to solve 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 expressions, one...
Brian McLogan
Completing the square to transform from standard to vertex form
👉 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
Choosing the right method | Completing the Square
👉In this video I look at two different techniques for completing the square. Do you have a favorite method or know when one type is prefered over another?
Brian McLogan
How to complete the square with a coefficient to find the vertex of a parabola
👉 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
Find the value of c that completes the square with fractions
👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
What is the division property and how is it used
Learn about simplifying rational expressions. A rational expression is an expression in the form of a fraction. To simplify a rational expression is to put the expression in a simplified form i.e. cancel out common factors, etc. When...
Brian McLogan
Learn how to graph in vertex form by converting using completing the square, y=x^2+8x+10
👉 Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
Learn how to rewrite an exponent in the numerator when it has a negative power
👉 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...
Brian McLogan
Learn how to find the lcm of two binomials
Learn how to add/subtract rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. When adding or subtracting rational expressions...
Brian McLogan
Complete the square to find the vertex and axis of symmetry
👉 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 find the value of c when given a fraction
👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
How to write an equation in vertex form and find the vertex
👉 Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Brian McLogan
How to find the value c that completes the square then write as a binomial squared
👉 Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Brian McLogan
Learn how to write the equation of a parabola given vertex and a point on the graph
👉 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...