Instructional Video2:05
Brian McLogan

Factor out a negative one to solve a quadratic

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Instructional Video4:58
Brian McLogan

Tips for solving by factoring when a perfect square

12th - Higher Ed
๐Ÿ‘‰Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Instructional Video3:28
Brian McLogan

Find the zeros and multiplicity by factoring a polynomial

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video2:08
Brian McLogan

Use the zero product property with polynomials to find the zeros

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video4:59
Brian McLogan

Solve by factoring when a is greater than 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 Video7:49
Brian McLogan

Find asymptotes and intercepts of a rational function

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

Write the equation of the polynomial given the zeros

12th - Higher Ed
๐Ÿ‘‰ Learn how to write the equation of a polynomial when given complex 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...
Instructional Video2:21
Brian McLogan

Write the linear factorization and solve quadratic

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video4:09
Brian McLogan

How to write the equation of a polynomial with two integer zeros

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video2:19
Brian McLogan

Solving a quadratic using the square root method when there are no solutions

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 Video1:55
Brian McLogan

Solve by factoring when a perfect square

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 Video3:07
Brian McLogan

Learn how to solve a quadratic by applying 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 Video2:42
Brian McLogan

Find the roots of a quadratic equation by factoring

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video2:42
Brian McLogan

Find the x and y intercepts of a polynomial in factored form

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video2:02
Brian McLogan

x and y intercepts in factored form

12th - Higher Ed
๐Ÿ‘‰ 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...
Instructional Video3:47
Brian McLogan

What do the zeros roots tell us of a polynomial

12th - Higher Ed
๐Ÿ‘‰ 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 Video5:46
Brian McLogan

Factoring a trinomial when a is equal to two

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 Video2:20
Brian McLogan

y = ax^2 +bx+c, Solve by factoring when a is greater than one ex 27, 0 = -2x^2 - 8x - 13

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 Video2:36
Brian McLogan

Summary for solving a quadratic when a is not 1

12th - Higher Ed
๐Ÿ‘‰Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Instructional Video0:51
Brian McLogan

How to use the zero product property to solve for the intercepts

12th - Higher Ed
๐Ÿ‘‰Learn how to solve quadratic equations by factoring. We will focus on factoring special techniques such as the zero product property, difference of two squares, box method and guess and check. Once we have factored the quadratic...
Instructional Video1:48
Brian McLogan

Factoring out a GCF then factoring using various methods

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Instructional Video5:43
Brian McLogan

Solve by factoring when a is greater than 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 Video3:10
Brian McLogan

Learn how to use the zero product property to solve an equation

12th - Higher Ed
๐Ÿ‘‰Learn how to solve a quadratic equation by factoring out the GCF. When factoring out the GCF from an equation we will be looking for what the terms have in common. This method is very useful for quadratic equations that does not have...
Instructional Video1:08
Brian McLogan

How to apply factoring to a word problem of a rectangle

12th - Higher Ed
๐Ÿ‘‰Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...