Brian McLogan
How to write the end behavior of a polynomial
👉 Learn how to determine the end behavior of the graph of a polynomial function. To do this we will first need to make sure we have the polynomial in standard form with descending powers. We will then identify the leading terms so that...
Brian McLogan
Learning how to find all the possible rational zeros of a polynomial using 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 Math - Dividing polynomials using synthetic division
👉 Learn about dividing by synthetic division when there is a missing power. 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
Given three real zeros write the equation of the polynomial
👉 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
Finding the Vertical and Horizontal Asymptotes of a Functions
👉 Learn how to find the slant/oblique asymptotes of a function. A slant (oblique) asymptote usually occurs when the degree of the polynomial in the numerator is higher than the degree of the polynomial in the denominator. To find the...
Brian McLogan
Find end behavior of a factored polynomial using limits
👉 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....
Psychology Unlocked
What's the difference between INTERNAL and EXTERNAL VALIDITY?
Validity is a key concept in research methods. It can be broken down into two umbrella categories: internal validity and external validity. 1) Internal validity considers factors within the design of the experiment. 2) External validity...
TLDR News
MP's Plot to Oust Speaker John Bercow - Brexit Explained
Recently Speaker John Bercow hasn't been particularly popular with the Conservatives. With some believing that his decisions have been biased against them. So this week some Conservative MPs have attempted to get rid of the Speaker.
Brian McLogan
What are acute and obtuse angles
👉 Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle. Angle...
Brian McLogan
Rewriting a number in degrees in radians using the conversion ratio
👉 Learn all about angles of trigonometry. In this playlist, we will explore what makes up an angle and how to graph an angle in degrees or radians to determine the quadrant. We will then take a look at angle relationships such as...
Brian McLogan
Learn to write an angle in decimal degree form
👉 Learn how to convert angles from DMS forms to decimal forms. DMS means Degree, Minutes, and Seconds. Minutes is represented by a single apostrophe (') while seconds is represented with double apostrophe ("). 60 seconds = 1 minute and...
Brian McLogan
Learn how to convert an angle in decimal form of degrees to radians
👉 Learn all about angles of trigonometry. In this playlist, we will explore what makes up an angle and how to graph an angle in degrees or radians to determine the quadrant. We will then take a look at angle relationships such as...
Brian McLogan
How to Graph a Number in Standard form, Radians or Degrees
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
How to evaluate an angle in degrees and minutes with a calculator cosine
👉 Learn how to evaluate trigonometric functions using a calculator. To evaluate the trigonometric functions using a calculator, we just punch the necessary buttons on the calculator to obtain the result. While this may seem simple, most...
Brian McLogan
Graph negative radians in standard form
👉 Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
Evaluate cosine sum and difference identity given as expression
👉 Learn how to write a given sum or difference of two angles formula expression as a single sum/difference of angles trigonometric function. To do this, we first identify the trigonometric function for which its sum/difference formula is...
Brian McLogan
Applying the law of sines when no triangle exists
👉 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 find the multiplicity zeros, intercepts with fractions
👉Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Determine LC and degree by multiplying binomials
👉 Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
Master labeling complementary and supplementary angle from a figure
Master labeling complementary and supplementary angle from a figure
Brian McLogan
How to use the remainder and factor theorem for polynomials
👉 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
How to use long division to divide 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
Learning how to complete synthetic division
👉 Learn about dividing by synthetic division. 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 the variable, the solution for...
Brian McLogan
Learn how to divide using synthetic division with multiple zeros
👉 Learn about dividing by synthetic division when there is a missing power. 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...