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# Polynomial operations

Published on: Mar 4, 2016
Published in: Education

#### Transcripts - Polynomial operations

• 1. Polynomial operations<br />Adding, subtracting, and multiplying<br />
• 2. ADDING POLYNOMIALS<br />Better known as combining like terms<br />(3x2+4x-6)+(4x2-5x-1)<br />Like terms have the same VARIABLESand the same EXPONENTS.<br />7x2<br />-7<br />-x<br />
• 3. Practice<br />(6x2-10x-12)+(2x2+4x-7)<br />(-3x2+5x-9)+(3x2-2x+1)<br />(5x3+6x2+3)+(9x2-4x)<br /><ul><li>8x2-6x-19
• 4. 3x-8
• 5. 5x3+15x2-4x+3</li></li></ul><li>SUBTRACTING POLYNOMIALS<br />Change the subtraction to addition<br />(4X2-5X-10)-(7X2-8X+12)<br />(4X2-5X-10)+( )<br />Change the signs of the next polynomial<br />(4X2-5X-10)+(-7X2+8X-12)<br />Combine like terms<br />-3x2+3x-22<br />
• 6. Practice<br />(4x2-3x+12)-(5x2-2x+10)<br />(4x-2)-(2x2+7x-9)<br />(9x2+3x+7)-(12x2-4x-8)<br /><ul><li>-x2-x+2
• 7. -2x2-3x+7
• 8. -3x2+7x+15</li></li></ul><li>MULTIPLYING POLYNOMIALS<br />(2X+1)(3X+2)<br />1<br />2X<br />+<br />3X<br />3X<br />6X2<br />+<br />4X<br />2<br />2<br />Answer: 6X2+7X+2<br />
• 9. MULTIPLYING POLYNOMIALS<br />(5X-2)(X+7)<br />2<br />5X<br />-<br />-2X<br />X<br />5X2<br />+<br />35X<br />-14<br />7<br />Answer: 5X2+33X-14<br />
• 10. MULTIPLYING POLYNOMIALS<br />(2X+1)(x2+x-3)<br />3<br />X2<br />+<br />X<br />-<br />-6x<br />2X<br />2X3<br />2X2<br />+<br />x2<br />-3<br />X<br />1<br />Answer: 2x3+3X2-5X-3<br />
• 11. MULTIPLYING POLYNOMIALS<br />(4X-9)2<br />9<br />4X<br />-<br />-36X<br />16X2<br />4X<br />This means to multiply something by ITSELF <br />-<br />-36X<br />81<br />9<br />Answer: 16X2-72X+81<br />
• 12. Practice:<br />(x-2)(4x+3)<br />(3x+4)(7x-1)<br />(3x+5)2<br />(x-1)(2x2+3x-4)<br /><ul><li>4x2-5x-6
• 13. 21x2+25x-4
• 14. 9x2+30x+25
• 15. 2x3+x2-7x+4</li>