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Sample edHelper.com - Polynomials Worksheet

 Name _____________________________ Date ___________________
Polynomials
Complete the puzzle.
 4 3 11 14  - 2 10 12 1 17 5 6 15 13 9 8 7 16 18

down 1.

Use FOIL.
(3x + 11) (2x + 8)

 6x? + 46x + 88

down 2.

Use FOIL.
(8x + 12) (2x + 11)

 16x2 + ? + 132

down 3.

Divide.
(117x4 + 81x3 + 144x) ÷ 1404x

 x312
+
 ?252
+
 439

down 4.

Solve by factoring.
49x2 - 140x + 100 = 0

(7x - ?)(7x - 10)
x =
1
 37

down 5.

Factor out the GCF from each polynomial.
2x3 + 10x2

 2x2(x + ?)

down 6.

(20x2 + 14x + 12) + (19x2 + 20x + 12)

 ?2 + 34x + 24

down 7.

Write each polynomial as the product of two binomials.
-8(9x - 11) + 7x(9x - 11)

 (7x - 8)(9x - ?)

down 8.

Divide.
(24x4 + 32x3 + 32x2) ÷ 4

 ?4 + 8x3 + 8x2

down 9.

Multiply.
(11x6 - 7x4) (9x - 5)

 ?7 - 55x6 - 63x5 + 35x4

down 10.

Write each polynomial as the product of two binomials.
-7(5x + 7) + 4x(5x + 7)

 (? - 7)(5x + 7)

down 11.

Multiply.
(8x + 7) (12x)

 96x2 + ?

down 12.

Multiply.
(10x) (11x + 7)

 110x2 + ?

down 13.

Multiply.
(-10x2 - 11x - 12) (9x + 2)

 -90x3 - ?2 - 130x - 24

across 1.

(11x + 16) + (8x + 6)

 19x + ?

across 4.

(9x + 4) + (16x + 9)

 25x + ?

across 5.

Subtract.
(8x2 + 18x + 15) - (19x2 + 13x + 5)

 -11x2 + ? + 10

across 6.

Divide.
 45x415x4

across 7.

Factor completely.
x2 - 9x - 10

 (x + ?)(x - 10)

across 10.

Divide.
(72x4 + 60x2 + 96x) ÷ (-12)

 -6x? - 5x2 - 8x

across 12.

Subtract.
(20x + 11) - (8x + 4)

 12x + ?

across 14.

Subtract.
(7x + 18) - (17x + 5)

 ? + 13

across 15.

Factor completely.
4x2 - 36xy + 81y2

 (2x - ?)(2x - 9y)

across 16.

Factor completely.
81x2 - 126x + 49

 (? - 7)(9x - 7)

across 17.

Use FOIL.
(3x + 6) (4x + 10)

 12x2 + 54x + ?

across 18.

Write each polynomial as the product of two binomials.
(x + 1)-9 + x(x + 1)

 (x - ?)(x + 1)