Welcome to your
Math class
GRADE 8
But first, let us review some terms
POLYNOMIAL
It is an algebraic expression
with variables and numerical
coefficients
VARIABLE
It is the unknown quantity in the
expression and that is
represented by the alphabet
NUMERICAL COEFFICIENT
It is the constant multiplier
to the variable.
Today we are going to learn about
Common Monomial
Factoring
Example :
Identify which is the VARIABLE and the
NUMERICAL COEFFICIENT
5xy + 50yz - 10
Example :
Now lets try to factor this
5xy + 50yz - 10
Example :
Now lets try to factor this
5xy + 50yz – 10
Factors : 5 and …
Example :
Now lets try to factor this
5xy + 50yz – 10
Factors : 5 (xy +10yz – 2)
Example :
Identify which is the VARIABLE and the
NUMERICAL COEFFICIENT
12a +16ab + 24abc
Example :
Now let us try to factor this
12a +16ab + 24abc
Example :
Now let us try to factor this
12a +16ab + 24abc
Factors: 4a and…
Example :
Now let us try to factor this
12a +16ab + 24abc
Factors: 4a (3 +4b +6bc)
Today we are going to learn about
Difference of
Two Squares
Characteristics of Dofference of Two
Squares
▪1. Binomial
▪2. Separated by the negative
sign
▪3. Both terms has square roots
or perfect square
Example :
2
x
–4
Example :
2
x
–4
= (x-2)(x+2)
Example :
4
x
–9
Example :
4
x
–9
2
2
= (x – 3)(x + 3)
Example :
4
25x
–9
Example :
4
25x
–9
2
2
=(5x + 3)(5x – 3)