A powerpoint presentation of Dividing polynomials using long division

1. PRAYER

2. Directions: Perform the
indicated operations
of the following
mathematical
expressions. A time
duration is given to
each item.

3. − 4 (2 )+(−7 )

4. (−15)+ (−10) −(−20)

5. 6 (− 4 )(− 1)

6. (200) ÷(− 10)

7. −5 +(9)+(−5)− 8 −(− 10)

8. LEARNING OBJECTIVE(S):
Defines polynomial expression;
Performs division of polynomial
using long division.

9. Defining polynomial expression
and Performing division of
Polynomials using Long Division

10. A polynomial expression is an
expression of the form ……. where
the nonnegative integer n is called
the degree of the polynomial and
coefficients ………, are real
numbers.

11. The terms of a polynomial may be
written in any order. However, we
often follow the convention of
writing the terms in decreasing
powers of the variable x. In this
case, the polynomial expression
is said to be in standard form.

12. For an algebraic expression to be
a polynomial, the exponent of x
should not contain a fraction, a
negative integer, or an irrational
number.

13. ILLUSTRATIVE EXAMPLES:
Identify which of the following
algebraic expressions are
polynomials.

14. 1.
2.
3.
4.
5.
6.

15. In dividing polynomials, the Laws
of Exponents and the Distributive
Property are also applied. The
procedure for dividing a
polynomial by another
polynomial is similar to the
procedure used when dividing
whole numbers.

16. In general, if are polynomials with , we
can write , where is either zero or its
degree is less than the degree of , P(x) is
the dividend, is the divisor, and is the
quotient. If , then we can say that is a
factor of

17. In dividing a polynomial when a
divisor is a monomial , just divide
each term by the given divisor.

18. ILLUSTRATIVE EXAMPLES:
1.
2.(2 𝑥2
+ 5 𝑥 −23)÷(𝑥 +5)
3.(10 𝑥2
+2 𝑥4
+8+7 𝑥3
)÷ (2 𝑥2
+𝑥 +1)

19. ACTIVITY 4
Directions: Perform division of
polynomials using long
division. Write your answer in a
form . Write your solution on
your activity notebook.

20. 1.
2.
3.
4. )
5.

21. 6.
7.
8.
9.
10.

22. Complete Me!
1. I learned that…………..
2. I realized that…………

23. Evaluate Me!
Directions: Perform division of
polynomials using long
division. Write your answer
in a form . Write your
solution on your
assessment notebook.

24. 2.

25. Write a reflection journal in
paragraph form titled
“Dividing Polynomials using
Long Division using the
format:
Enrich My Vocabulary!

26.  Description of the Lesson
 Things learned
 Difficulties
 Unforgettable experiences

27. Thank
You!