Instructional Video7:54
Brian McLogan

Learn how to convert to vertex form by completing the square and then graph, y=x^2+4x+7

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations by completing the square. 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...
Instructional Video5:07
Brian McLogan

Learn How to Use the Rational Zero Test to Find the Zeros of a Polynomial

12th - Higher Ed
πŸ‘‰ 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 Video1:58
Brian McLogan

Adding like terms with the same variable factors

12th - Higher Ed
πŸ‘‰ Learn how to simplify mathematics expressions. A mathematis expression is a finite combination of numbers and symbols formed following a set of operations or rules. To simplify a mathematics expression means to reduce the expression...
Instructional Video10:45
Brian McLogan

Pre-Calculus - Using the Double Angle of Tangent to Solve an Equation

12th - Higher Ed
πŸ‘‰ Learn how to use the double angle identities to solve trigonometric equations. When we have equations with a double angle we will apply the identities to create an equation that can help solve by inverse operations or factoring. We...
Instructional Video2:40
Brian McLogan

How to simplify a trig expression

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:40
Brian McLogan

How to factor a trigonometric expression

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

Solving a trigonometric equation with secant

12th - Higher Ed
πŸ‘‰ Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Instructional Video4:29
Brian McLogan

How to use the zero product property to solve trig sinx

12th - Higher Ed
πŸ‘‰ Learn how to solve trigonometric equations using the zero product property. The zero product property states that when the product of two quantities is equal to 0, then either of the quantities is zero. When solving factored...
Instructional Video1:55
Brian McLogan

Solve by factoring when a perfect square

12th - Higher Ed
πŸ‘‰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 Video2:30
Brian McLogan

How to factor a trinomial with a negative middle term

12th - Higher Ed
πŸ‘‰Learn 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...
Instructional Video10:36
Brian McLogan

Applying Rational Zero Test Then Find All of the Zeros

12th - Higher Ed
πŸ‘‰ 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 Video5:18
Brian McLogan

How to apply synthetic division when the zero is a fraction

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video3:29
Brian McLogan

How to Determine the Zeros of a Polynomial

12th - Higher Ed
πŸ‘‰ 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 Video3:19
Brian McLogan

How to divide a binomial polynomial into a quadratic polynomial

12th - Higher Ed
πŸ‘‰ Learn how to divide polynomials by binomial divisors using the long division algorithm. A binomial is an algebraic expression having two terms. Before dividing a polynomial, it is usually important to arrange the divisor in the...
Instructional Video2:42
Brian McLogan

Find the roots of a quadratic equation by factoring

12th - Higher Ed
πŸ‘‰ 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 Video5:49
Brian McLogan

Factor by grouping and GCF

12th - Higher Ed
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...
Instructional Video2:54
Brian McLogan

Find the value c that completes the square, x^2 - 4x + c

12th - Higher Ed
πŸ‘‰ Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Instructional Video2:08
Brian McLogan

Find all the possible rational zeros given a polynomial

12th - Higher Ed
πŸ‘‰ 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 Video3:02
Brian McLogan

Factoring using difference of two squares by factoring out a variable

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video1:26
Brian McLogan

Factoring by grouping with multiple variables

12th - Higher Ed
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...
Instructional Video2:55
Brian McLogan

Factoring Blitz # 2 - Factoring by grouping - Online Tutor

12th - Higher Ed
Learn how to factor polynomials by grouping. 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...
Instructional Video2:22
Brian McLogan

Factor a trinomial by first factoring out the GCF

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video59:27
Brian McLogan

Zeros of Polynomials | Polynomials | Pre-Calculus

12th - Higher Ed
In this video we will cover how to determine the real zeros of a polynomial by factoring as well as writing the equation of a polynomial given the zeros and multiplicity. We will focus on factoring polynomials with two, three and four...
Instructional Video11:15
Brian McLogan

Understanding complex numbers as zeros

12th - Higher Ed
Understanding complex numbers as zeros