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Polynomials

Problems

Addition and Subtraction of Polynomials

Multiplication of Polynomials

Problem : Simplify (4x 4 +3x 6 -23x 5 +9) + (12x - 4x 4 +22x 5) .

3x 6 - x 5 + 12x + 9

Problem : Simplify (8x 2 +2xy - 15y + y 2) + (6y - 7x + 2xy - 3x 2) .

5x 2 + y 2 + 4xy - 7x - 9y

Problem : Simplify (- 2x 6 + x 4 +18x 3 +11) + (3x 5 -2x 4 -18x 3 - 12x + 9)

-2x 6 +3x 5 - x 4 - 12x + 20

Problem : What monomial does the represent?
(4x 3 + x 2 - ) + (- 5x 3 +6x 2 +13x + 4) = - x 3 +7x 2 + x + 4

= 12x

Problem : Simplify (7x 3 +4x 2 -11x + 8) - (3x 2 - 2x - 1) .

7x 3 + x 2 - 9x + 9

Problem : Simplify (- 4x 4 - x 3 +11x 2 -2) - (- 4x 4 +3x 3 +12x 2 - 3x + 4)

-4x 3 - x 2 + 3x - 6

Problem : Simplify (3x 6 -12x 4 +43x 3 -12x + 9) - (3x 5 -7x 4 -23x 3 +18x 2 + 12x - 4)

3x 6 -3x 5 -5x 4 +66x 3 -18x 2 - 24x + 13

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