Algebraic expressions can be formed using numbers, variables, and mathematical operations. They can be simplified by combining like terms. Polynomials are algebraic expressions with multiple terms and are classified based on the number of terms as monomials, binomials, trinomials, or multinomials. To add or subtract polynomials, like terms are aligned and then the operations are performed following standard order of operations. The resulting expression copies the variable term.

1. MATHEMATICS
(ALGEBRA)
Algebraic Expressions and
Polynomials

2. ALGEBRAIC EXPRESSIONS
is an expression formed from any
combination of numbers and
variables by using the operations of
addition, subtraction,
multiplication, division,
exponentiation (raising to powers),
or extraction of roots.
example:
2x2 - 9a2b2 - y

3. SIMPLIFYING ALGEBRAIC
EXPRESSIONS
2X + 3X2 – X + 9X2 =
(2X – X) (3X2 + 9X2) 1. FIND THE LIKE
TERMS
2. USE THE
X + 12X2 OPERATIONS OF
THE SYMBOLS
= X + 12X2 (NEGATIVE/POSITI
VE)
3. ADD OR SUBTRACT
4. WRITE THE

4. POLYNOMIALS
Is an algebraic sum.
It’s classifications (number of
terms)
: Monomials – 1 term (x)
: Binomial – 2 terms (x – x)
: Trinomial – 3 terms (x – x -
x)
: Multinomial – 4 or more

5. ADDING POLYNOMIALS
(2X2 - 9X4) + (6X2 – 5X4)
(2X2 - 9X4) 1. ALIGN THE
+ (6X2 – 5X4) LIKE TERMS
7X2 - 14X4 2. PROCEED TO
ADDITION
3. COPY THE
= 7X2 - 14X4 VARIABLE

6. SUBTRACTING POLYNOMIALS
(2X2 - 9X4) - (6X2 – 5X4)
1. GET THE
ADDITIVE
(- 6X2 + 5X4)
INVERSE OF
THE
(2X2 - 9X4) SUBTRAHEND.
+ (-6X2+5X4) 2. ALIGN LIKE
TERMS
(-4X2 - 4X4 )
3. PROCEED TO
ADDITION
= (-4X2 - 4X4 ) 4. COPY THE
VARIABLE

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