Lesson 6 subtraction of polynomials
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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.
Lesson 6 subtraction of 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?