Brian McLogan
Factoring out a GCF then factoring using various methods
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
How to set up 2 cases to solve an absolute value inequality as a compound inequality
π Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value...
Brian McLogan
Given 3 zeros one a fraction learn how to write the polynomial functions
π Learn how to write the equation of a polynomial when given fractional 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....
Brian McLogan
Solving and graphing a absolute value inequality with infinite many solutions
π Learn how to solve absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value...
Brian McLogan
Master writing the equation of a polynomial give complex zeros
Master writing the equation of a polynomial give complex zeros
Brian McLogan
Solving a trigonometric equation with applying pythagorean identity
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Write the equation of a hyperbola with fractions
Write the equation of a hyperbola with fractions
Brian McLogan
Inverse of a negative square root function
π Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...
Brian McLogan
Learn how to use the zero product property to solve an equation
πLearn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Brian McLogan
solving by completing the square by factoring out a two
π 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
Using are pythagorean identites to simplify an expression
π Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...
Brian McLogan
Master Solving and Graphing an Absolute Value Inequality with OR
Master Solving and Graphing an Absolute Value Inequality with OR
Brian McLogan
Write the equation of a polynomial given binomial irrational zeros
π Learn how to write the equation of a polynomial when given irrational 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....
Brian McLogan
Learn how to write complex zeros into the equation of a polynomial function
π Learn how to write the equation of a polynomial when given complex 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
Writing the equation of a parabola given the 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...
The Business Professor
Mixed Costs
Mixed costs are a combination of two or more related fixed and variable costs. Generally, you used the high-low method of a regression analysis to determine the relationship between fixed and variable costs.
Brian McLogan
Solving Radical Equations with the Cube Root, the Easy Way
π Learn how to solve radical equations having one radical term. To solve a radical equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of the radical by taking on...
Brian McLogan
Verifying inverses
π Learn how to show that two functions are inverses. The composition of two functions is using one function as the argument (input) of another function. In simple terms composition of two functions is putting one function inside another...
Brian McLogan
Writing the equation of a polynomial when given three zeros
π 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
Solving Mixed Number Subtraction Problems
This video shows the process for solving the problem presented in IGCSE A June 2018 paper 2H Q4, which involves mixed number subtraction. Students will understand how to work with mixed numbers and improper fractions. They will apply...
Brian McLogan
Learn how to solve an equation when you are taking the square root on both sides
π Learn how to solve radical equations having two radical terms. To solve a radical equation having two radical terms, we isolate the radical terms by placing them in the opposite sides of the equality sign. Next, we get rid of the...
Brian McLogan
Learn How to Square Both Side of an Equation to Solve with Square Roots
π Learn how to solve radical equations having two radical terms. To solve a radical equation having two radical terms, we isolate the radical terms by placing them in the opposite sides of the equality sign. Next, we get rid of the...
Brian McLogan
Subtracting Fractions - help me with math
π Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...