Brian McLogan
How to apply synthetic division when the zero is a fraction
👉 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...
Brian McLogan
How do we classify the angles - Obtuse, straight, acute, right
Learn all about angles. An angle is a figure formed by two rays sharing a common endpoint. An angle can be classified as acute, right, obtuse, straight or refrex. An acute angle is an angle which measures less than 90 degrees. A right...
Brian McLogan
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
4f Characteristics of Cotangent (Parts of the Cotangent Graph)
Brian McLogan
Solving a rational equation by not using cross multiplication
👉 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
How to use long division for dividing two polynomials
👉 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...
Brian McLogan
How to graph a parabola in vertex form with a vertical compression
👉 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...
Brian McLogan
How to divide using synthetic division and write your remainder over your divisor
👉 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...
Brian McLogan
Learn how to use the zero product property to solve an equation
👉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...
Brian McLogan
Finding the Zeros Given One Complex Zeros
👉 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
How to Use Synthetic Division and Factoring to Find All the Real and Complex Zeros
👉 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
Show the zero exists by the Intermediate Value Theorem
Show the zero exists by the Intermediate Value Theorem
Brian McLogan
Find All of the Zeros of a Polynomial
👉 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
Applying Rational Zero Test Then Find All of the Zeros
👉 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
Applying the remainder theorem to identify the remainder of a polynomial divided
👉 Learn about and how to apply the remainder and factor theorem. The remainder theorem states that f(a) is the remainder when the polynomial f(x) is divided by x - a. Thus, given a polynomial, f(x), which is to be divided by a linear...
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
Multiple examples on how to graph the reciprocal function
Multiple examples on how to graph the reciprocal function
Brian McLogan
Find all the remaining zeros given a complex 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
Finding a function given zeros with one of them a fraction - Online Tutor
👉 Learn how to write the equation of a polynomial when given fractional 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....
Brian McLogan
Solving a rational Equation
👉 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
How to solve a trigonometric equation zero product property
👉 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
Find the polynomial function with integer coefficients that has given 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...
Brian McLogan
Learn How to Synthetically Divide Twice to Find All the Zeros of the Polynomial
👉 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
How to determine the domain of a rational function
👉 Learn how to find the domain of rational functions. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero. Thus, to find the domain...
Brian McLogan
Master how to find all of the zeros of a polynomial when given two irrational zeros
Master how to find all of the zeros of a polynomial when given two irrational zeros