Search for tag: "algebra"

Multiplication of 3 or 4 integers

A review of the sign rules for multiplication and three examples to demonstrate these.

From  Tom Grant 9 plays 0  

Factoring out a binomial from a polynomial: GCF factoring, basic

Demonstrates how to remove a common factor that not just a single number or variable, but a binomial i. e. a two-term expression.

From  Tom Grant 44 plays 0  

Factoring out a monomiail from a polynomial: Multivariate

Demonstrates how factor a greatest common factor (GCF) from a polynomial.

From  Tom Grant 29 plays 0  

Factoring a linear binomial

Shows how to factor the greatest common factor from a simple linear binomial

From  Tom Grant 31 plays 0  

Synthetic division

This demonstrates why symthetic division works when dividing by a simple binomial as in x + a or x - a. Then it shows how to fill in the answers for this type of question.

From  Tom Grant 16 plays 0  

Dividing a polynomial by a monomial: Univariate

Shows how to distribute a division like you do with multiplication when there is one term being distributed.

From  Tom Grant 36 plays 0  

Multiplying conjugate binomials: Univariate

Demonstrates what happens when the F.O.I.L. method is applied to multiply two binomails of the form (a + b) (a - b). It's special circumstance that allows a short cut.

From  Tom Grant 32 plays 0  

Multiplying a multivariate polynomial by a monomial

Demonstrates how to multiply a single term by an expression with more than one term but containied in parentheses. using distribution.

From  Tom Grant 21 plays 0  

Simplifying a sum or difference of three univariate polynomials

The key to getting this type of question is distributing any minus sign on the outside of the parentheses to each term on the inside thereby changing all of the i nner signs to their opposite

From  Tom Grant 33 plays 0  

Power and quotient rules with negative exponents: Problem type 2

Another example of simplifying a fraction in parentheses raised to a power

From  Tom Grant 34 plays 0  

Power and quotient rules with negative exponents: Problem type 1

Using the quotient rule, we can eliminate the negeatiev exponent rigiht awa and then applly the "power rule".

From  Tom Grant 62 plays 0  

Power rules with negative exponents

A short example of how to deal with a fraction raised to a negative power.

From  Tom Grant 26 plays 0  

Power of a power rule with negative exponents

Explains the reason why exponents are multiplied in a power of a power situation, then simplifies two examples.

From  Tom Grant 12 plays 0  

Evaluating an expression with a negative exponent: Negative integer base

Reminder of the negative exponent rule, then transforming a couple of numerical expressions with negative numbers as bases as well as exponents.

From  Tom Grant 22 plays 0  

Power of 10: Negative exponent

Negative powers of 10 means that they are very small fractions.

From  Tom Grant 27 plays 0  

Simplifying a ratio of multivariate monomials: Basic

A quick example of reducing a fraction by dividing matching factors on the top and bottom.

From  Tom Grant 48 plays 0