Brian McLogan
Learn how to add two rational expressions by finding the LCD
Learn how to add/subtract rational expressions with trinomials 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
Solving a system of three equations with infinite many solutions
👉Learn how to solve a system of three linear systems. A system of equations is a set of equations which are to be solved simultaneously. A linear equation is an equation whose graph is a straight line. The solution to a system of...
Brian McLogan
How to write all the solutions to a trig equation that is squared
👉 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
How to verify an identity by combining two rational expressions
👉 Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
How to determine when you have two solutions for an oblique triangle
👉 Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions and...
Brian McLogan
How to divide two functions and create your constraint
👉 Learn how to divide two functions. We will explore the division of linear, quadratic, rational, and radical functions. To divide two functions, we simply algebraically divide the rules (contents) of the two functions. We will then...
Brian McLogan
Applying the rules of exponents to multiply to monomials
👉 Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
Brian McLogan
Factoring a trinomial when a is equal to two
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 write a polynomial in standard form when divided by a number
👉 Learn how to classify polynomials based on the number of terms as well as the leading coefficient and the degree. When we are classifying polynomials by the number of terms we will focus on monomials, binomials, and trinomials, whereas...
Brian McLogan
Solving a multi step equation with infinite many solutions
👉 Learn how to solve multi-step equations with parenthesis and variable on both sides of the equation. An equation is a statement stating that two values are equal. A multi-step equation is an equation which can be solved by applying...
Brian McLogan
Learn to sketch the graph of a function and it's inverse given a table of values
👉 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 solve a rational equation and check your 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
How to use long division for dividing two polynomials
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Brian McLogan
Math tutorial for how to use and apply the rational zero test
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
How to use and apply Descartes Rule of signs
👉 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
How to graph a rational function using 6 steps
👉 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
How to factor the GCF and then by difference of two squares
👉 Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. 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...
Brian McLogan
How to divide using synthetic division and write your remainder over your divisor
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Solving Rational Equations
👉 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
Solving Rational Equations | Three Mistakes
Being a teacher for many years I can tell you I know where students make their mistakes. In this video I will show you the top three mistakes I see students making when solving rational equations
Brian McLogan
Solving an Absolute Value Equation with Two Solutions
Lean how to solve absolute value equations. 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 equations we need...
Brian McLogan
Solving a rational Equation
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
Master writing the equation of a polynomial given rational zeros
Master writing the equation of a polynomial given rational zeros