Brian McLogan
Find the Zeros of a Polynomial Then Write Out Using Linear Factorization
π 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
Factoring out a GCF from a polynomial using reverse distributive property
π Learn how to factor polynomials by GCF. 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. To factor an algebraic expression means to break it...
Brian McLogan
Factoring by grouping
Learn how to factor expressions of two variables by grouping. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. When a given expression can be grouped...
Brian McLogan
Factor out the GCF
π Learn how to factor polynomials by GCF. 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. To factor an algebraic expression means to break it...
Brian McLogan
Applying the remainder theorem to identify the remainder of a polynomial divided
π 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
Rational Expressions | Preparing for Precalculus Part 5
Rational Expressions | Preparing for Precalculus Part 5
Brian McLogan
Solving and graphing a function with rational asymptotes
π Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Solve a rational equation with factoring and extraneous solution
π Learn how to solve rational equations. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. There are many ways to solve rational expressions, one...
Brian McLogan
Simplifying a rational expression by factoring out the numerator
Learn how to simplify 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 simplify a rational expression, we factor...
Brian McLogan
Simplifying a complex rational expression by multiplying by the reciprocal
π Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Brian McLogan
Use Synthetic Division to Find the Remaining Zeros Given One Imaginary Zero
π Learn how to find all the zeros of a polynomial given one complex 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
What is the division property and how is it used
Learn about simplifying rational expressions. A rational expression is an expression in the form of a fraction. To simplify a rational expression is to put the expression in a simplified form i.e. cancel out common factors, etc. When...
Brian McLogan
Using factoring to simplify the product of two rational expressions
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Tutorial - Promo Solving Quadratic Equations
In this video playlist I show you how to solve different math problems for Algebra, Geometry, Algebra 2 and Pre-Calculus. The video will provide you with math help using step by step instruction. Math help tutorials is just what you need...
Brian McLogan
Learn how to simplify division of a rational expression by factoring
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...
Brian McLogan
Converting an equation to vertex form then determine the vertex
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Determine the Multiplicity & Zeros of a Polynomial by Inspection
π Learn how to find all the zeros of a factored polynomial. 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 polynomial are the...
Curated Video
Factoring Trinomials with a Leading Coefficient Other than 1
This video is a math lesson on factoring trinomials with a leading coefficient other than 1. The teacher explains six steps to follow, including finding the product of a and c and determining factors that add up to b. The steps are...
Curated Video
Factoring the GCF from an Algebraic Expression
In this video lesson we will learn how to factor the GCF from an algebraic expression. We will review that GCF represents the Greatest Common Factor. We will also review how to identify factors of a value and determine the GCF. We will...
Brian McLogan
How to find the zeros of a polynomial using the sum of two cubes
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
How to factor a trinomial when your middle and constant are negative
πLearn 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...
Brian McLogan
Factoring a trinomial using guess and check, 3w^2 + 14w + 8 = 0
we find two factors of the product of the constant term (the term with no variable) and the coefficient of the squared variable whose sum gives the linear term. These factors are now placed in separate brackets with x to form the factors...
Brian McLogan
Simplifying a trigonometric expression by factoring
π Learn how to simplify identities by factoring. Just like in normal algebraic expressions, trigonometric identities can be simplified by factoring out the GCFs from the terms of the identities, then common trigonometric identities like...