Brian McLogan
What do you need to know to be able to factor polynomials
π Learn how to factor polynomials. 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 up...
Brian McLogan
Find the Zeros of a Polynomial Given One Zero as a Fraction
π 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...
Brian McLogan
Finding the vertex in vertex form by rewriting the equation
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
Factoring when your a and c are squared
Learn how to factor higher order trinomials. 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...
Brian McLogan
How to subtract a quadratic from a quadratic difference
π 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...
Brian McLogan
How to fill in a table of values for a quadratic function
π Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
How to find the GCF between two terms
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
How To Solve a Polynomial Equation Raised to the Fourth Power
π Learn how to find all the zeros of a 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 values...
Brian McLogan
Given the zeros of a function find the polynomial
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
Master Factoring higher order polynomials
Inside this course you will gain access to over 130 problems worked out step by step, over 100 extra practice problems with solutions provided and over 15 quizzes to test your skills until you achieve 100% mastery. Also provided are...
Brian McLogan
Why and how to we apply synthetic division with a missing term
π 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
Learn How to Solve a Polynomial Equation to a Higher Degree by Factoring
π Learn how to find all the zeros of a 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 values...
Brian McLogan
Major mistake when solving rational equations
πHere is one of the major mistakes I see when students are solving rational equations. Timestamps: 0:00 Intro 0:26 Example #1 1:08 Example #2 2:12 Example #3 3:37 Example #4 4:08 Example #5 5:00 Example #6 6:41 Example #7 7:54 Example #8...
Brian McLogan
Asymptotes and Intercepts of a Rational Function
π Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Solve an equation using the quadratic formula
π Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Brian McLogan
How do you find the vertex of a parabola
π Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Solving a quadratic to find the zeros a is not 1
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
Math Tutorial for Finding the Zeros of a Polynomial by Factoring
π Learn how to find all the zeros of a 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 values...
Brian McLogan
Learn How to Solve a Radical Equation and Check Your Answers
π Learn how to solve radical (square root) equations having one radical term. To solve a radical (square root) equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of...
Brian McLogan
Learn to evaluate the compostion of two functions one quadratic
In this video we will discuss how to simplify radical expressions as well as apply operations such as adding, subtracting, dividing, and multiplying. f(x) = x^2 + x -12; g(x) = -2x + 1. Find g(f(3y))
Brian McLogan
Learn to Find all the Solutions by Factoring Higher Order Polynomial
π Learn how to find all the zeros of a 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 values...
Brian McLogan
Learn step by step how to find the inverse of a quadratic function
π Learn how to find the inverse of a quadratic function. A quadratic function is a function whose highest exponent in the variable(s) of the function is 2. The inverse of a function is a function that reverses the "effect" of the...
Brian McLogan
How to solve a polynomial to the 4th power by factoring
π Learn how to find all the zeros of a 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 values...