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Brian McLogan
Zeros of Polynomials | Polynomials | Pre-Calculus
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...
Brian McLogan
x and y intercepts in factored form
👉 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...
Brian McLogan
How do you solve a quadratic when 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
Learn how to solve a quadratic using completing the square
👉 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...
Brian McLogan
10% Students Solve This Trig Equation Wrong (Including me!)
Once you have a solid idea for how to solve trigonometric equations it is time for a challenge. A problem that will test you knowledge and ability to apply algebraic concepts to trigonometric equations. This problem does exactly that.
Brian McLogan
Solving a rational Equation
👉 Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
Master writing the equation of a polynomial given rational zeros
Master writing the equation of a polynomial given rational zeros
Brian McLogan
Master Condensing Logarithmic Expressions using the Properties of Logarithms
Master Condensing Logarithmic Expressions using the Properties of Logarithms
Brian McLogan
Write the equation of the polynomial given the zeros
👉 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...
Curated Video
Using the Properties of Exponents to Simplify Expressions
This video lesson reviews the seven properties of exponents. Each of the properties is modeled to simplify expressions and student practice is embedded in the lesson. Applying more than one property to the simplifying of an expression is...
Brian McLogan
Finding all of the solutions of a equation with tangent and a triple angle
👉 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...
Brian McLogan
Solving a trigonometric equation with an undefined answer of cosine
👉 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...
Brian McLogan
Master Solving trigonometric equations with two different trig functions
Master Solving trigonometric equations with two different trig functions
Brian McLogan
Learn How to Find All Zeros of a Polynomial Using Rational Zero Test and Synthetic
👉 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
Given One Zero or Factor Find the Remaining Zeros
👉 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
Solve a rational equation with factoring and extraneous solution
👉 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
Use Synthetic Division to Find the Remaining Zeros Given One Imaginary Zero
👉 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
Solving a Radical Equation When You Have One Extraneous Solution
👉 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...
Curated Video
Dividing Powers: The Quotient Property
In this video lesson we will learn how to divide powers using the Quotient of Powers Property. We will discover that to divide powers with the same base you subtract the exponents. We will also combine what we learned about multiplying...
Brian McLogan
Learn how to write the equation of a polynomial given 4 zeros
👉 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
How to find the roots of a polynomials by factoring
👉 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
Master - How to find the zeros of a polynomial function by factoring and determine multiplicity
👉 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...