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Brian McLogan
Use Descartes Rule of signs to determine the number of positive and negative
π Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Completing the square of two functions
π 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
Translating sentences using more than one operations ex 4
π Learn how to write an algebraic expression from verbal sentence as well as writing out a sentence from a algebraic expression. To do this we need to know what words we use to express operations such as addition, multiplication,...
Brian McLogan
Applying distributive property with a negative one to solve the multi step equation
π Learn how to solve multi-step equations with parenthesis. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying multiple steps of operations to get to the...
Brian McLogan
How to graph a hyperbola with asymptotes and center at origin
How to graph a hyperbola with asymptotes and center at origin
Brian McLogan
Given an equation find the vertices, center and foci of hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Sketch the angle then find the reference angle
π Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies...
Brian McLogan
Find the coordinate point of the given angle
π Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
Brian McLogan
Learn how to use the power to quotient rule to simplify an expression
π Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
How to subtract two binomials
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
Learn how to subtract polynomials by rewriting the problem as addition
π Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Brian McLogan
Find the domain and range using the inverse of the 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
How to determine the LCM to allow us to add two rational expressions
Learn how to add/subtract rational expressions with monomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Algebra 2 - Apply foil to multiply two complex numbers, (sqrt(-4) - 7)(sqrt(-25) + 2)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Algebra 2 - Learn how to simplify a radical with imaginary numbers, 3sqrt(-128)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
Algebra 2 - How to multiply two complex numbers using special products, (5 - 3i)(5 + 3i)
In this video playlist you will learn how to simplify complex numbers under a radical as well as raised to a higher power. You will learn to add, subtract, multiply and divide complex numbers to write in simplified standard form. When...
Brian McLogan
4 Tips to Solve a System of Equations Algebraically | Algebra
πIn this video I will cover how to solve a system of equations using elimination and or substitution through 4 different tips. The tips will help us determine which method is preferred based on the system as well solution we are looking...
Brian McLogan
Master how to find two coterminal angles 1 positive 1 negative
Master how to find two coterminal angles 1 positive 1 negative
Brian McLogan
Tutorial - Promo Solving a system of equations by elimination
In this video playlist you will explore how to solve a linear system by elimination. We use elimination to describe this process because we will eliminate a variable by adding or subtracting the two equations. Before we add or subtract...
Brian McLogan
Learn how to solve a rational equation when the solution does not work when plugged in
π 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 equations, one of...
Brian McLogan
Math tutorial for adding two rational expressions
Learn how to add and/or 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...
Brian McLogan
Combining rational expression with unlike denominators
Learn how to add and/or 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...
Brian McLogan
Learn how to use long division to divide two polynomials
π Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
Multiplying two rational expressions
Learn how to multiply 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. To multiply two rational expressions, we use the...