lesson 6 subtraction of polynomials
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Subtraction of Polynomials
Alexander M. Morron JrBNHS - Gawaran
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
+
Recall:
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 xx8127 2 xx
19x2 + 3x – 5
+
Recall:
Subtract the following integers.
2.) 13 – (-4) =
1.) -11 – 3 =
Recall:
3.) -13 – (-5) =
4.) 10 – (-13) =
Note: a – b = a + (-b)
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
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
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
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
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
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)
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?
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?
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?