Brian McLogan
How to write the polynomial function 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...
Brian McLogan
Determine the end behavior of a polynomial
π Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Curated Video
GCSE Secondary Maths Age 13-17 - Probability & Statistics: Tree Diagram - 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
Given a geometric sequence determine the nth rule
π Learn how to find the nth term of a geometric sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. A geometric sequence is a sequence in which...
Brian McLogan
How to find the focus of a parabola given an equation
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
How to find the scalar that makes a unit vector
How to find the scalar that makes a unit vector
Brian McLogan
Rationalizing the denominator of a radical monomial expression
π Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
Learn the Basics for Solving a System of Equations by Elimination
πLearn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves...
Brian McLogan
How to determine the domain and range and graph
π Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
Factor a trinomial using ac method when you have a coefficient for quadratic term
πLearn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Solving a proportion using distributive property
π 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
Solving a multi step inequality with distributive property
π Learn how to solve multi-step linear inequalities having parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e....
Brian McLogan
How to solve a two step inequality in two different ways because of a fraction
π Learn how to solve two-step linear inequalities and graph their solution. When solving two step inequalities we will use inverse operations, reverse order of operations and the properties of equality to solve. We will then graph our...
Brian McLogan
Solving a linear equation written as a rational quantity
π Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or)...
Brian McLogan
How to solve a one step equation using the division property of equality with a fraction
π Learn how to solve one step linear equations. By one step we mean equations that take one step to solve. The one step is the inverse operation needed to isolate the variable such as addition, subtraction, division and multiplication...
Brian McLogan
How to find the volume or a triangular prism
π Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are joined by a set of parallelograms. A prism derives its name from the shape of its...