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Sample edHelper.com - Polynomials Worksheet

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Polynomials
Classify as a monomial, binomial, or trinomial.
 1 -9x - 4 Monomial      Binomial      Trinomial
 2 -14x2 - 14x + 19 Monomial      Binomial      Trinomial

 3 (14x + 15) + (10x + 14)
 4 (8x + 10) + (11x + 10)
 5 (14x2 + 5x + 19) + (11x2 + 18x + 17)

Subtract.
 6 (7x + 7) - (11x + 13)
 7 (11x + 17) - (14x + 18)
 8 (7x2 + 17x + 13) - (12x2 + 10x + 4)

Multiply.
 9 (6x) (11x + 9)
 10 5x (4x + 1)
 11 10x (11x2 + 5x + 4)

Use FOIL.
 12 (11x + 8) (2x + 5)
 13 (7x + 7) (5x + 3)
 14 (5x + 2) (11x + 7)

Multiply.
 15 (5x2 + 6x - 10) (8x - 3)
 16 (9x2 + 11x - 9) (12x - 5)
 17 (-7x7 - 12x6 + 9) (6x2 - 10x - 7)

Divide.
18.
 24x4x

19.
 72x436x2

20.
 105x126x2

Divide.
 21 (12x4 + 28x3 + 32x) ÷ 4
 22 (12x4 + 3x3 + 18x2) ÷ 3
 23 (75x4 + 70x3 + 30x) ÷ 630x

 24 [(7x + 4) (-8x - 8)] + [(8x + 9) (5x + 6)]
 25 [(11x) (10x + 11)] - [(16x + 14) - (10x + 16)]

Factor out the GCF from each polynomial.
 26 -165x3 + 198x
 27 350x3 - 400x2 - 300x
 28 -135x6 + 108x5 - 27x4

Write each polynomial as the product of two binomials.
 29 (x - 12)9 + x(x - 12)
 30 x(x + 7) + 9(x + 7)
 31 (x - 10)-9 + 7x(x - 10)

Factor completely.
 32 x2 + 14x + 49
 33 49x2 - 64
 34 64x2 - 9

Factor completely.
 35 49x2 - 28xy + 4y2
 36 9x4 - 100
 37 4x4 + 28x2 + 49

Factor completely.
 38 x2 - 12x + 20
 39 x2 - 19x + 84
 40 x2 - x - 12

Solve by factoring.
 41 81x2 - 100 = 0
 42 25x2 - 144 = 0
 43 64x2 + 48x + 9 = 0

Sample
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