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11 Cards in this Set
- Front
- Back
Polynomials are closed under which operations?
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Polynomials are closed under the operations of addition, subtraction, and multiplication.
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Subtract. (6x²+5x+8)-(x²+4)
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(6x²+5x+8)-(x²+4)
(6x²+5x+8)+(-x²-4) (6x²-x²)+(5x)+(8-4) 5x²+5x+4 |
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Add. (7a²+3a+4) + (2a+6)
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(7a²+3a+4)+(2a+6)
7a²+(3a+2a)+(4+6) 7a²+5a+10 |
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Subtract. (3x²+7x+4)-(x²+4x+5)
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(3x²+7x+4)-(x²+4x+5)
(3x²+7x+4)+(-x²-4x-5) (3x²-x²)+(7x-4x)+(4-5) 2x²+3x-1 |
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Add. (6y²+8y+4) + (10y+2)
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(6y²+8y+4) + (10y+2)
6y²+(8y+10y)+(4+2) 6y²+18y+6 |
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Subtract. (9x²+4x+6) - (5x+7)
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(9x²+4x+6) - (5x+7)
(9x²+4x+6) + (-5x-7) 9x²+(4x-5x)+(6-7) 9x²-x-1 |
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Add. (5x²+2x+3) + (8x+7)
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(5x²+2x+3)+(8x+7)
5x²+(2x+8x)+(3+7) 5x²+10x+10 |
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What are the steps to multiplying two binomials?
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First find products of the First, Outside, Inner, and then Last (FOIL) terms. Then, add the products.
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Multiply. (3y+5)(2y+7)
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(3y+5)(2y+7)
(3y*2y)+(3y*7)+(5*2y)+(5*7) 6y²+21y+10y+35 6y²+31y+35 |
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Multiply. (5x-2)(2x+7)
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(5x-2)(2x+7)
(5x*2x)+(5x*7)+(-2*2x)+(-2*7) 10x²+35x+(-4x)+(-14) 10x²+31x-14 |
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Multiply. (4x²-4x-7)(x+3)
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(4x²-4x-7)(x+3)
(4x²-4x-7)(x)+(4x²-4x-7)(3) (4x³-4x²-7x)+(12x²-12x-21) 4x³+8x²-19x-21 |