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Brian McLogan
Overview adding polynomials
๐ Learn how to add polynomials. To add polynomials, we first simplify the polynomials by removing all brackets. Then, we combine like terms. Like terms are terms that share the same base and power for each variable. When you have...
Brian McLogan
Multiply two rational polynomial expressions
๐ Learn how to apply the rules of exponents to simplify an expression. We will focus on applying the product rule, quotient rule as well as power rule. We will then explore multiple properties such as power to product, power to quotient...
Brian McLogan
Learn how to factor a trinomial using a rectangle and the diamond method
๐Learn 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...
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Understanding Demand: Factors Affecting Quantity Demanded
This is a lecture presentation on demand, explaining the technical connotations of the word and how it relates to pricing and consumer behavior. The presenter uses the example of a Peugeot car to demonstrate the relationship between...
Brian McLogan
Write the equation of the polynomial given the zeros
๐ 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
Learn how to divide two radical expressions together with variables and numbers
๐ Learn how to find the cube root of rational expressions. To find the cube root of a rational expression, we first express the rational expression as the cube root of the numerator divided by the cube root of the denominator. Next we...
Brian McLogan
What are like terms
๐ 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...
Brian McLogan
Learn How to Simplify the Radical of a Number in Multiple Different Ways
๐ Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to...
Brian McLogan
Solve by factoring when a is greater than one
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 use a rectangle to factor and solve a quadratic equation
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
Factoring practice - Learn how to factor - Step by step math instruction
๐Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Factoring out using the diamond method when a is greater than one
๐Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. To...
Brian McLogan
Summary for solving a quadratic by factoring out a GCF
๐Learn 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...
Brian McLogan
Learn how to factor a trinomial in your head using guess and check
๐Learn 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...
Brian McLogan
How to factor a trinomial using diamond method
๐Learn 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...
Brian McLogan
Factoring a quadratic trinomial when a=1 to find the solutions
๐Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Write the equation of a polynomial by converting zeros to factors and multiplying out
๐ 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
Determine the end behavior of a factored polynomial
๐ Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
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Zeros and Coefficients of a Polynomial
It explains the relation between the Zeros and Coefficients of a linear polynomial, a quadratic polynomial and a cubic polynomial.
Brian McLogan
How to use a factor tree to factor find the linear factorization of a term, 32x^4 y^2
๐ Learn how to factor a number, variable, and monomial completely. To factor means to write our term as a product of its factors. Therefore we will learn how to break down a number, variable, and monomial into its factors.
Brian McLogan
Solve by factoring when a=1
๐Learn how to solve quadratic equations by factoring when a is equal to 1. A quadratic is an algebraic expression having 2 as the highest power of its variable(s). To factor an algebraic expression means to break it up into factors...
Brian McLogan
Solve by factoring when a is greater than one
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
Solve by factoring when a perfect square
๐Learn 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...
Brian McLogan
How to find the roots of a quadratic polynomial
๐Learn 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...