Algebra 2 Factoring Project

Algebra 2 Factoring Project

1. Factor TreeA factor tree is a tool that breaks down any number into its prime factors. A certain number's prime factorization is the list of prime numbers or prime factors that you would multiply together to create that certain number.

7. Factoring PolynomialsFactoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with, for example finding the greatest common factor, grouping like terms finding the difference of perfect squares. a^2 - b^2 = (a+b)(a-b)

4. G.C.F. contribution in real life: Luke has 15 packets of sugar and 30 packets of artificial sweetener. He wants to divide them into identical groups, with no packets left over, so that the groups can be distributed to some tables at the restaurant where he works. What is the greatest number of groups Luke can make?

2.Factor Tree contribution to Real lifeOne occupation that is dependent upon the use of prime numbers is that of a cryptographer. Large prime numbers are used to encrypt information so that it is confidential. Encryption is used when dealing with credit cards, computers, communication by the U.S. Department of Defense, etc.

3. G.C.F. The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.

6. Factoring integers in real life:Factoring intgers can be used in everyday life, for example if eight friends came to my house warming and I have thirty-two slices of pizza I can hand out. Since I know that thirty-two factors as 32= 4 X 8, I can give 4 slices to each friend.

5. Factor IntegersA factor is a number that divides evenly into another number. As an example, the factors of 20 are 1,2,4,5, and 10. Why? Because all of these numbers divide evenly into 20.

8. Factoring Polynomials contribution in real life: In finance, a common polynomial equation that comes up is the calculation of present value. This is used in accounting when the present value of assets must be determined. It is used in asset (stock) valuation. It is used in bond trading and mortgage calculations. The polynomial is of high order, for example, with an interest term with exponent 360 for a 30-year mortgage. This is not a formula that can be factored. Instead, if the interest needs to be calculated, it is solved for by computer or calculator.

9. Factoring QuadraticsFactoring quadratics finds the roots or x-intercepts of a quadratic equation. Factoring quadratic equations in standard form, , can often be accomplished by finding two numbers that add to give b, and multiply to give ac.

10.Factoring Quadractics contribution in real life: If you throw a ball (or shoot an arrow, fire a missile or throw a stone) it will go up into the air, slowing down as it goes, then come down again and a Quadratic Equation tells you where it will be!