Brian McLogan
How to verify an identity with a fraction on both sides
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Verifying a trigonometric Identities
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
How to simplify a rational trigonometric expression by factoring
π 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 a Monomial by a Trinomial - Free Math Help Videos
π 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...
Brian McLogan
Applying the rules of exponents to multiply to monomials
π Learn how to simplify expressions using the product rule of exponents. The product rule of exponents states that the product of powers with a common base is equivalent to a power with the common base and an exponent which is the sum of...
Brian McLogan
Evaluating functions with a binomial
π Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Brian McLogan
Multiplying polynomials to write in standard form and label the degree and LC
π 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
Learn how to reorder a polynomial and determine the degree and leading coefficient
π 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...
Brian McLogan
How to write a polynomial in standard form when divided by a number
π 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...
Brian McLogan
Learn how to classify a polynomial as a cubic binomial
π 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...
Brian McLogan
How to apply multiplication to write polynomial in standard form and find degree
π 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
How to find the third term of the binomial expansion
π 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...
Brian McLogan
How to use long division for dividing two polynomials
π 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
How to factor the GCF and then by difference of two squares
π 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
How to divide using synthetic division and write your remainder over your divisor
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
Algebra 2 Learn how to multiply by conjugate to rationalize the denominator complex numbers, i/(3-i)
In this video playlist you will learn everything you need to know with complex and imaginary numbers i/(3 - i)
Brian McLogan
Algebra 2 - Dividing complex numbers by multiplying by the conjugate 3i / (4+2i)
In this video tutorial I show you how to divide complex numbers. Since complex numbers have an imaginary part which we cannot divide into other numbers we rewrite the expression by multiplying by i or the conjugate on the denominator or...
Brian McLogan
Zeros, Intercepts, multiplicity, end behavior of a binomial raised to a power
Zeros, Intercepts, multiplicity, end behavior of a binomial raised to a power
Brian McLogan
Simplifying a radical expression by rationalizing the denominator as a binomial
π Learn how to divide rational expressions having square root binomials. To divide a rational expression having a binomial denominator with a square root radical in one of the terms of the denominator, we multiply both the numerator and...
Brian McLogan
Learn how to solve a polynomial using the difference of two cubes and quadratic formula
π 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
Factoring a perfect square trinomial with fractions, boo ex 31, x^2 + x + 1/4
πLearn how to factor perfect square trinomials. Perfect square trinomials are formed when binomials are multiplied by themselves. To factor an algebraic expression means to break it up into expressions that can be multiplied together to...
Brian McLogan
Learning to solve a proportion with a binomial
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
Adding two rational trigonometric terms learn how
π Learn how to simplify rational identities involving addition and subtraction. To simplify rational identities involving addition and subtraction, first, we find the LCM of the denominators which most time is the product of the terms in...
Brian McLogan
How to Multiply Two Monomials by a Trinomial and Binomial
π 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...