Brian McLogan
How to apply Descartes rule of signs for polynomials
👉 Learn about Descartes' Rule of Signs. Descartes' rule of the sign is used to determine the number of positive and negative real zeros of a polynomial function. Knowing the number of positive and negative real zeros enables also to also...
Brian McLogan
Applying the Rational Zero test to identify all of the rational zeros of a polynomial
👉 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...
Curated Video
Long Division (Two-Digit Dividend) (Part 2)
Find whole-number quotients by dividing two-digit whole numbers (dividend) by one-digit whole numbers (divisor) using long division (standard algorithm).
Brian McLogan
How to Math - Dividing polynomials using synthetic division
👉 Learn about dividing by synthetic division when there is a missing power. 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
Write the equation of a line from given graph
👉 Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Brian McLogan
Writing the equation of a line from given graph
👉 Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Brian McLogan
Write the equation of a line from a given graph
👉 Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Brian McLogan
Translating division using quotient
👉 Learn how to write an algebraic expression from verbal sentence as well as writing out a sentence from a algebraic expression. To do this we need to know what words we use to express operations such as addition, multiplication,...
Brian McLogan
Given two points find the equation of the line using point slope
👉 Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
How to use the remainder and factor theorem for polynomials
👉 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
Learning how to complete synthetic division
👉 Learn about dividing by synthetic division. 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 the variable, the solution for...
Brian McLogan
How to divide polynomials using long division
👉 Learn how to divide polynomials using the long division algorithm. To be able to solve a polynomial, we need to be able to get the factors and hence the zeros. To get the factors, we use the rational zeros theorem to get one of the...
Brian McLogan
Finding all of the possible zeros by applying the rational zero test to a polynomial
👉 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...
Brian McLogan
Factoring a polynomial using the difference of two cubes
👉 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...
Brian McLogan
Applying long division with a remainder
👉 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...
Brian McLogan
How to use long division to divide 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 divide polynomials with a remainder long division
👉 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...
Brian McLogan
Using synthetic division to divide two polynomials with a remainder
👉 Learn about dividing by synthetic division. 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 the variable, the solution for...
Brian McLogan
What is the factor Theorem
👉 Learn about the remainder theorem and the factor theorem. The remainder theorem states that when a polynomial is divided by a linear expression of the form (x - k), the remainder from the division is equivalent to f(k). Similarly, when...
Brian McLogan
Dividing polynomials using long division
👉 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
Simplify an expression using power to product and power to quotient rule
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
Brian McLogan
Find the equation of a line from given graph
👉 Learn how to write the equation of a line from graph. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which we can write the...
Brian McLogan
How to write the equation of a line parallel to another through a point
👉 Learn how to write the equation of a line that is parallel to a given line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms...
Brian McLogan
Breaking down synthetic division step by step
👉 Learn about dividing by synthetic division. 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 the variable, the solution for...