Instructional Video4:00
Brian McLogan

Subtracting two polynomials

12th - Higher Ed
πŸ‘‰ Learn how to subtract polynomials. To subtract polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you...
Instructional Video5:14
Brian McLogan

BEST explanation how to determine domain algebraically

12th - Higher Ed
πŸ‘‰ Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Instructional Video1:30
Brian McLogan

Is it a monomial, binomial, trinomial, or polynomial

12th - Higher Ed
πŸ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video2:17
Brian McLogan

How to factor a trinomial into two factors

12th - Higher Ed
πŸ‘‰Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Instructional Video1:33
Brian McLogan

Classify a polynomial then determining if it is a polynomial or not

12th - Higher Ed
πŸ‘‰ Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a...
Instructional Video7:11
Brian McLogan

When Given a Polynomial & Its Factors Find All Zeros and Write as a Product of its Factors

12th - Higher Ed
πŸ‘‰ Learn how to find all the zeros of a polynomial given one rational 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...
Instructional Video1:58
Brian McLogan

Learning How to Apply Distributive Property with Polynomials

12th - Higher Ed
πŸ‘‰ Learn how to multiply polynomials. We apply the distributive property to polynomials by multiplying a monomial to every term in a polynomial. When multiplying monomials it is important that we multiply the coefficients and apply the...
Instructional Video3:01
Brian McLogan

Tutorial Rewrite a polynomial in descending order, then identifying degree and leading coefficient

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:18
Brian McLogan

What do I need to know to classify polynomials

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:48
Brian McLogan

How do you find the degree of a polynomial

12th - Higher Ed
πŸ‘‰ Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the highest power (exponent) of the individual terms that make up the polynomial. For terms with more that...
Instructional Video2:27
Brian McLogan

Classify and determine the leading coefficient and degree of a polynomiall

12th - Higher Ed
πŸ‘‰ Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different integer exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Instructional Video2:33
Brian McLogan

Find a line parallel to another line through a given point

12th - Higher Ed
πŸ‘‰ Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Instructional Video3:44
Brian McLogan

What are zeros of a polynomial

12th - Higher Ed
πŸ‘‰ Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The...
Instructional Video3:02
Brian McLogan

Dividing two polynomials using synthetic division

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:52
Brian McLogan

Learn how to identify the end behavior

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:28
Brian McLogan

End behavior of polynomials factored out

12th - Higher Ed
πŸ‘‰ 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....
Instructional Video1:08
Brian McLogan

Multiply a quadratic and linear function then determine domain

12th - Higher Ed
πŸ‘‰ Learn how to multiply two functions. We will explore the multiplication of linear, quadratic, rational, and radical functions. To multiply two functions, we simply algebraically multiply the rules (contents) of the two functions. We...
Instructional Video1:39
Brian McLogan

How to determine the end behavior of a polynomial

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:38
Brian McLogan

Transfering from exponential to logarithmic

12th - Higher Ed
πŸ‘‰ Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Instructional Video3:49
Brian McLogan

Learn how to expand a binomial to fourth power by multiplying

12th - Higher Ed
πŸ‘‰ Learn how to expand a binomial using binomial expansion. A binomial expression is an algebraic expression with two terms. When a binomial expression is raised to a positive integer exponent, we usually use the binomial expansion...
Instructional Video1:16
Brian McLogan

converting between logarithmic and exponential

12th - Higher Ed
πŸ‘‰ Learn how to convert logarithmic equations to exponential equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Instructional Video0:52
Brian McLogan

How to Algebraically Show That a Function is Even

12th - Higher Ed
πŸ‘‰ Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the graph of the function is symmetrical...
Instructional Video4:24
Brian McLogan

Using operations to simplify polynomials

12th - Higher Ed
πŸ‘‰ Learn how to add and subtract polynomials by either using the vertical or horizontal method.
Instructional Video3:30
Brian McLogan

How to add polynomials with grouping symbols

12th - Higher Ed
πŸ‘‰ Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...