addition of polynomials

3. 1. Illustrate addition of polynomials (M7AL-IId-2 )
2. solve problems involving addition of
polynomials
3. appreciate the concept of adding
polynomials in solving real life situation.
At the end of the lesson, you will be able to:

4. During the Nutrition Month Culmination of Mimbunga
National High School, Sam brought 8 guavas and 6
bananas. Ted brought 5 guavas, 9 bananas and 4
pineapples. They combine all fruits in a basket.
Now let’s take this activity

5. 1. How many guavas are there in all?
How did you get the answer?

6. 2. How many bananas? How did you get
the answer?

7. Next question. How many pineapples are
there?

8. 5. Which of the two students has more
fruits if we will only count the guavas?
If your answer is Sam, then that’s correct.
Sam has 8 guavas while Ted has only 5
guavas.

10. a.Sam brought 8 guavas
and Ted brought 5. They
are going to sell the
guavas at x price. How
will you write the total
sales of guavas of Sam
and Ted?

11. We can write the total sales
of Sam and Ted by:
8x + 5x= 13x

12. Sam brought 6 bananas and Ted
brought 9. They are going to sell
the bananas at x price. How will
you write the total sales of
bananas of Sam and Ted?

13. We may write the total sales of Sam and
Ted by:
6y + 9y= 15y

14. Based on activity, we can only add or
combine similar objects.

15. Let’s proceed to the next activity. You are going to
identify the given polynomials if they are similar or
dissimilar terms.

16. 1. 3x + 2x
Are they similar or dissimilar? If you answered Similar
Terms, then that is correct. Because it has the same
variable of x and exponent of 1.

17. 2. – 8xy + 2xy
Are they similar or dissimilar terms? If you
answered Similar , then that is correct. Because
it has the same variable of x and y with
exponent of 1.

18. 3. 2a2 + 3bc
Are they similar or dissimilar? If you answered
dissimilar, then you are correct. The first has a
variable of a with exponent of 2 while the second
term has a variable of b and c. They are dissimilar

19. 4. 4m + (-3m)
Are they similar or dissimilar terms? If you
answered similar, then you are right. Beacuse it
has the same variable of m with the exponent of
1.

20. 5. - 2x2y + 4xy2
similar or dissimilar terms? If you answered dissimilar, then
you got it right. Try to look closely on the variables x and y.
The first term has x squared y while the second term has x
y squared. They are not the same in terms of variables and
exponent

21. What have you observed in items 1, 2
and 4? What do you call these terms?

22. “What about in items 3 and 5?
Items 3 and 5, these are dissimilar
terms because they differ in literal
coefficient 0r variable and exponent.

23. When we say similar terms , these are
polynomials having the same literal coefficient
and exponent.

24. What about dissimilar terms are polynomials having
different literal coefficient and exponent.
For example: 8x and 9y. These terms are
dissimilar because the literal coefficient of
8 is x while the literal coefficient of 9 is y.
And they are not the same.

25. Let’s proceed to Activity 3.
You are going to add the following polynomials

26. Since there is more than one term we need to align the similar
terms in the same column

27. Note that these terms have different signs, we
need to get the difference of the positive
equivalents of the integers and attach the sign
of a larger number to the result.

28. In other words, we will subtract the
absolute value of the integers and
copy the sign of a larger number to
the result or answer.

29. Which means, four minus two is two.
Then 4 is positive and is larger than 2,
we take the positive sign to the result.
That is why the final answer is positive
2x.

30. 4a – 3b
5a + 8b
9a
Since there is more than one term we need to align similar
terms then add
+ 5b

31. Since the terms have different signs, we
need to get the difference of the positive
equivalents of the integers and attach the
sign of a larger number to the result.
In other words, we will subtract the
absolute value of the integers and copy
the sign of a larger number to the
result or answer.

32. Which means, four minus two
is two. Then 4 is positive and
is larger than 2, we take the
positive sign to the result.

34. To add polynomials, simply combine similar
terms. To combine similar terms, get the
sum of the numerical coefficients and annex
the same literal coefficients. If there is more
than one term, for convenience, write similar
terms in the same column.

35. To summarize these are the steps in
adding polynomials.

36. 3. Add the similar terms by
applying the rule in adding
integers.
1.Identify the similar terms.
2.Group similar terms.

37. Simply combine similar terms. To
combine similar terms, get the sum
of the numerical coefficients and
annex the same literal coefficients.

38. 3. 6x + (-2x)=
Independent Practice
Find the sum of the following:
2. (9c – 5d) + (2c – 2d)=
1. 4n + 2n = 6n
4x
11c – 7d

39. How will you apply the concept of adding
polynomials in real life situation so that we will
appreciate the use of this lesson?
Annalyn walks 2x kilometers everyday in
coming to school. How many kilometers
will she walk from Monday to Friday?

40. Monday – 2x
Tuesday - 2x
Wednesday- 2x
Thursday – 2x
Friday – 2x
Total 10x km Anna walked from
Monday to Friday

43. a. 7x
b. 10x
c. 13x
d. -7x
To check whether you understand the discussion
earlier, let’s take this evaluation. Choose the
letter of the correct answer.

44. a. 3y
b. -3y
c. 7y
d. 2y

45. a. 25m + 2
b. 5m + 2
c. -15m + 1
d. 25m - 2

46. c. 13x
Now, let’s check your answer. Honesty is the
best policy.
The correct answer is
Just add 10 and 3 then copy the common variable x

47. b. -3y
The correct answer is b.
Since it has different signs, we need to subtract 5 and 2 then
take the sign of a greater or larger number to the result.
-5y
2y
-3y

48. The correct answer is
a. 25m + 2
15m + 1
10m + 1
25m + 2

49. Watch and study the next video on
the link provided and answer
Activity 1.
I hope that you learned from our discussion.
For your assignment

50. HAPPY LEARNING