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11 Cards in this Set

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