SPECIAL PRODUCTS AND FACTORING
Objectives: At the end of the learning activity, the viewers are expected to be able to:1. Understand the meaning of quantities in power of numbers.2. Compute the roots of perfect square and perfect cubes.3. Be familiar with different patterns of special products frequently used.4. Apply with skills and accuracy the special products.5 Demonstrate skills in factoring polynomials up to it prime factors.6 To apply with skill and accuracy the different methods in factoring.
POWER AND ROOTS:
When we multiply 5 x 5, we are using
5 as a factor two times. The shorthand notation for 5 x 5 is 5 squared. The squared here is called the exponent and the number 5 is called the base. The
exponent tells how many times the base is used as a factor. 5 squared may be read as “5 to the second
power “or 5 squared.
5 squared is 5 x 5 and is equal to 25.
We can use exponents other than 2.
For example, 4 cube is 4x4x4 which is equal to 64; 10 to the fifth is
10x10x10x10x10 equals 100,000; 7 raised to 1 =7; 3 raised to zero =1(any quantity
raise to zero as an exponent is equal to 1).
Example: 1.) 3 squared x 2 squared =
Example: 2.) 12 squared x 12 raised to zero
x 4= (12) x (12) x (1) x 4