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Brian McLogan
Using the remainder theorem and checking your answer with synthetic division
π Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
Brian McLogan
Solving an Absolute Value Equations
Learn how to solve absolute value equations with multiple steps. 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...
Brian McLogan
How to write the polynomial given complex roots
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
How To Solve an Absolute Value Equation and Test Our Solutions when They Do Not Work
Learn how to solve absolute value equations with extraneous solutions. 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...
Brian McLogan
Solving a linear system of two equations by graphing
πTo solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
The Wall Street Journal
The Next Big Thing, Part 1
At WSJ Tech Live in Laguna Beach, Anousheh Ansari, the CEO of XPRIZE and Aicha Evans, the CEO of Zoox discuss what will keep the engine of tech innovation running in an era of skeptical users and wary regulators.
Brian McLogan
Solving a multi step equation with no solution
π 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
Pre-Calculus - Using the Double Angle of Tangent to Solve an Equation
π Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Brian McLogan
How to solve a trigonometric equation using sum and difference identities
π Learn how to solve equations using the angles sum and difference identities. Using the angles sum and difference identities, we are able to expand the trigonometric expressions, thereby obtaining the values of the non-variable terms....
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
Solving a trigonometric equation using the zero product property
π Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
How to use the zero product property to solve trig sinx
π Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Brian McLogan
How to use factoring to solve a trigonometric equation
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
How to solve an equation with cosine
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric identities, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Solve by factoring when a perfect square
πLearn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Brian McLogan
Learn how to solve a quadratic by applying the difference of two squares
πLearn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Curated Video
AWS Certified Solutions Architect Associate (SAA-C02) Exam Prep Course - Some Advantages of Cloud
This video goes over the advantages of Cloud.
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This clip is from the chapter "The Basics of Cloud with AWS" of the series "AWS Certified Solutions Architect Associate (SAA-C02) Exam Prep Course".This section introduces you...
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This clip is from the chapter "The Basics of Cloud with AWS" of the series "AWS Certified Solutions Architect Associate (SAA-C02) Exam Prep Course".This section introduces you...
Brian McLogan
How to apply synthetic division when the zero is a fraction
π 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
How the number of sign changes of a polynomial helps us determine the number or real zeros
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
Find all the possible rational zeros given a polynomial
π 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
Algebra 1 - Learn how to graph the solution to an inequality
In this video you will learn how to solve and graph inequalities. When solving inequalities you will use the same inverse operations as solving equations. The difference will be when you multiply or divide by negative numbers you switch...
Brian McLogan
Solve Trig Equation Sum and Difference Formula
Solve Trig Equation Sum and Difference Formula
Brian McLogan
Why do we add intervals of 2pi to our solution
π Learn about the angles on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
Solve basic rational equations and explain extraneous solutions
Solve basic rational equations and explain extraneous solutions