Instructional Video6:52
Brian McLogan

Learn how to solve a word problem by using factoring a quadratic

12th - Higher Ed
๐Ÿ‘‰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...
Instructional Video6:38
Brian McLogan

Label the zeros, multiplicity, and determine degree and LC from a graph

12th - Higher Ed
๐Ÿ‘‰ 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 Video2:04
Brian McLogan

How to find the x intercepts (solutions) of a quadratic in vertex form

12th - Higher Ed
๐Ÿ‘‰Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Instructional Video1:05
Brian McLogan

Learn to find the x and y intercepts of a rational function

12th - Higher Ed
๐Ÿ‘‰ Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Instructional Video3:16
Brian McLogan

Graphing a quadratic equation using transformations

12th - Higher Ed
๐Ÿ‘‰ Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Instructional Video10:09
Curated Video

How to Conquer Completing the Square Part A

9th - 12th
Learn how to conquer solving a quadratic equation using the method completing the square. Part A, this video, will provide an organized list of steps to complete the square when a=1. The concept of perfect square trinomials will be...
Instructional Video6:02
Brian McLogan

Learn how to solve a quadratic when a=1 using the diamond method

12th - Higher Ed
๐Ÿ‘‰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...
Instructional Video3:30
Brian McLogan

Solving a quadratic by solving using the difference of two squares

12th - Higher Ed
๐Ÿ‘‰Learn how to solve quadratic equations by factoring the difference of two squares. We can identify the difference of two squares but looking for binomials that have square terms. Difference of two square quadratic equations is of the...
Instructional Video3:58
Brian McLogan

Learn how to mentally factor a trinomial and solve the quadratic equation

12th - Higher Ed
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...
Instructional Video2:06
Brian McLogan

Learn to find the solutions of a quadratic by applying the quadratic formula

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video4:11
Brian McLogan

Learn how to solve a quadratic equation by factoring when a is not equal to one

12th - Higher Ed
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...
Instructional Video4:08
Brian McLogan

How to find the multiplicity zeros, intercepts with fractions

12th - Higher Ed
๐Ÿ‘‰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...
Instructional Video3:46
Brian McLogan

Learn how to solve a quadratic equation using a step by step method

12th - Higher Ed
๐Ÿ‘‰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...
Instructional Video1:22
Brian McLogan

How to use zero product property to solve a quadratic in factored form

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation using the zero product property. When a quadratic equation has been factored or is given in factored form, we can solve the quadratic equation by applying the zero product property. The zero...
Instructional Video2:22
Brian McLogan

How to solve a quadratic using the square root method with fraction

12th - Higher Ed
๐Ÿ‘‰Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Instructional Video2:55
Brian McLogan

Determine the roots of the quadratic function with fraction coefficients

12th - Higher Ed
๐Ÿ‘‰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...
Instructional Video5:01
Brian McLogan

How to apply the rational root test to determine your rational zeros

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video5:12
Brian McLogan

Given the vertex and a point find the equation of a parabola

12th - Higher Ed
๐Ÿ‘‰ Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Instructional Video2:19
Brian McLogan

Factoring a polynomial using the difference of two cubes

12th - Higher Ed
๐Ÿ‘‰ Learn how to factor polynomials using the sum or difference of two cubes. 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...
Instructional Video4:51
Brian McLogan

How to use a perfect square trinomial to solve a quadratic equation

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation by factoring a perfect square trinomial. A perfect square trinomial quadratic equation is of the form y = x^2 +2cx + c^2, where c is a perfet square. There are couple of ways we can solve a...
Instructional Video4:26
Brian McLogan

Factoring and Solving quadratics as trinomials

12th - Higher Ed
๐Ÿ‘‰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...
Instructional Video8:52
Brian McLogan

Solving a quadratic equation by completing the square

12th - Higher Ed
๐Ÿ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video2:03
Brian McLogan

What are the formulas for the sum and difference of two cubes

12th - Higher Ed
๐Ÿ‘‰ Learn how to factor polynomials using the sum or difference of two cubes. 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...
Instructional Video14:50
Brian McLogan

How to divide two polynomials using long division

12th - Higher Ed
๐Ÿ‘‰ 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...