Brian McLogan
Factoring a polynomial by difference of two squares and GCF first
👉 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
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...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Brian McLogan
Write the polynomial function given a complex and fraction as zeros
👉 Learn how to write the equation of a polynomial when given imaginary 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
Lesson for factoring rational expressions so that you can multiply them
In this video series I will show you how to multiply rational expressions. When multiplying rational expressions it is important VERY important for you to simplify your expression first by factoring. Factoring allows us to write our...
Brian McLogan
Write the equation of the polynomial given the zeros
👉 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 rationalize the denominator with a binomial and cube root of a number
👉 Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
Learn how to solve completely using the difference of two cubes
👉 Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....
Brian McLogan
Mulitiplying 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...
Curated Video
Drawing Detailed Bar Graphs
Draw a detailed scaled bar graph to represent data with several categories.
Curated Video
Solve for Unknown Side Lengths Using the Pythagorean Theorem
In this video, students will learn how to solve for unknown side lengths in right triangles using substitution with the Pythagorean theorem. The video explains the Pythagorean theorem and how to create equations using it. It also reviews...
Brian McLogan
Given a zero find the remaining zeros
👉 Learn how to find all the zeros of a polynomial given one irrational zero. 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 of a...
Brian McLogan
Solving a perfect square trinomial with multiple terms
👉Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
Brian McLogan
Learn how to factor out the GCF then use difference of two squares
👉Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Brian McLogan
Multiply and verify the trigonometric identity
👉 Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Curated Video
Java Programming for Complete Beginners - Java 16 - Step 09 - Stream Intermediate Operations - Exercises - Squares of First 10, Map
In this session, we will learn about stream intermediate operations - exercises - squares of first 10, map. This clip is from the chapter "Introduction to Functional Programming" of the series "Java Programming for Complete Beginners -...
Brian McLogan
Write the equation of the polynomial given the zeros
👉 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
Write the linear factorization and solve quadratic
👉 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
Evaluate tangent for the difference of two angles and simplify, tan
👉 Learn how to evaluate the tangent of an angle in degrees using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and the...
Brian McLogan
Simplify an expression by rewriting an expression using the difference of two squares
👉 Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the terms on the left-hand side of the equality sign is equal to the terms on the right-hand side. To...
Brian McLogan
Multiply and use fundamental identities to simplify
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Learn how to verify the identity
👉 Learn how to verify trigonometric identities involving the addition and subtraction of terms. To do this it is usually useful to convert the addition or subtraction terms in terms of one trigonometric function and then evaluate....
Brian McLogan
Learn how to solve a quadratic by applying the difference of two squares
👉Learn 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
KS2 Primary Maths Age 9-13 - Reflection: - Explained
SchoolOnline's Primary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 9-13, they cover every key topic and sub topic covered in Maths in clear and easy to follow steps. This video looks at...