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# Lesson 6 subtraction of polynomials

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### Lesson 6 subtraction of polynomials

1. 1. Subtraction of Polynomials Alexander M. Morron Jr BNHS - Gawaran
2. 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. 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. 4. Subtract the following integers. 2.) 13 – (-4) = 1.) -11 – 3 = 3.) -13 – (-5) = 4.) 10 – (-13) = Note: a – b = a + (-b)
5. 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. 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. 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. 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. 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. 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. 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. 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. 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?