The document summarizes how to subtract polynomials. It explains that to subtract polynomials, one changes the sign of all terms in the subtrahend, changes the operation to addition, and then proceeds to add the polynomials by aligning like terms and combining coefficients. It provides examples of subtracting various polynomials, as well as exercises for students to practice subtracting polynomials.

1. Subtraction of Polynomials
Alexander M. Morron Jr
BNHS - Gawaran

2. To add polynomials, add the
numerical coefficient of like term
and copy the literal coefficient.
)8124( 2
xx )1296( 2
xx+
Align like terms8124 2
xx
1296 2
xx
10x2
– 3x – 4
+

3. To add polynomials, add the
numerical coefficient of like term
and copy the literal coefficient.
)3912( 2
xx )8127( 2
xx+
Align like terms3912 2
xx
8127 2
xx
19x2
+ 3x – 5
+

4. Subtract the following integers.
2.) 13 – (-4) =
1.) -11 – 3 = 3.) -13 – (-5) =
4.) 10 – (-13) =
Note: a – b = a + (-b)

5. To subtract polynomials, change
the sign of all terms of the
subtrahend, change the operation to
addition and proceed to addition of
polynomials.
–
Align like terms
3x – 17
+
(11x – 7) (8x + 10 )
11x – 7
(8x + 10)
–
– 8x – 10

6. To subtract polynomials, change
the sign of all terms of the
subtrahend, change the operation to
addition and proceed to addition of
polynomials.
–
Align like terms
x2
– 9x
+
(3x2 – 4x + 5) (2x2 + 5x – 10)
3x2 – 4x + 5
2x2 + 5x – 10
–
– 2x2 – 5x + 10
+ 15

7. To subtract polynomials, change
the sign of all terms of the
subtrahend, change the operation to
addition and proceed to addition of
polynomials.
–
Align like terms
x3
+ x2
+
(5x3 – 10x2 + 3x – 5) (4x3 – 11x2 + 3x + 5)
5x3 – 10x2 + 3x – 5
4x3 – 11x2 + 3x + 5
–
– 4x3 + 11x2 – 3x – 5
– 10

8. To subtract polynomials, change
the sign of all terms of the
subtrahend, change the operation to
addition and proceed to addition of
polynomials.
Align like terms
– 4x+ 8
+
Subtract 3x + 5 to 7x – 3
3x + 5
7x – 3
–
– 7x + 3

9. To subtract polynomials, change
the sign of all terms of the
subtrahend, change the operation to
addition and proceed to addition of
polynomials.
Align like terms
4x – 8
+
Subtract 3x + 5 from 7x – 3
7x – 3
3x + 5
–
– 3x – 5

10. Exercises
1. 21 y – (-7y)
2. -20x3 – (-3x3)
3. (9x2 + 16x + 12) – (14x2 + 2x – 7)
4. (10x2 + x + 16) – (3x – 4x2 +
10)
5. (3x2 – 2x – 6) – (3x2 – 2x + 6)

11. Application
Dan keeps 5p2 + 2p – 7 pesos in the bank.
If his money earned p2 – p + 8 pesos as
interest, what would be his latest bank
balance?

12. Application
What must be subtracted to -24x to obtain
32x?
If you subtract 8xy to 15xy will you get
the same result when you subtract 8xy
from 15xy?

13. Worksheet No. 6
Directions: Solve the following.
1. 14x2 − 15x2
2. (4x2 + 6x − 7) − (7x2 − 5x + 8)
3. (2x − 7x3 + 5) − (7 + 4x + 5x3)
4. (3x3 + 4x2 + 5x − 7) − (2x3 − 7x2 + 5x − 7)
5.Verbal Writing:
Is the result of x2 + 5x − 7
subtracted from 3x2 − 7x − 8 the same with
3x2 − 7x − 8 subtracted to x2 + 5x − 7?