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Polynomials

Problems

Multiplication of Binomials -- Special Cases

Removing Common Factors

Problem : Evaluate (x - 3)2 .

x 2 - 6x + 9

Problem : Evaluate (2x + 11)2 .

4x 2 + 44x + 121

Problem : Evaluate (3 - 5x)2 .

9 - 30x + 25x 2

Problem : Evaluate (x 2 +2y)2 .

x 4 +4x 2 y + 4y 2

Problem : Evaluate (2x 3 -9)2 .

4x 6 -36x 3 + 81

Problem : What number does the represent?
(x + )2 = x 2 + 14x + 49

= 7

Problem : What number does the represent?
(3x - )2 = 9x 2 - 24x + 16

= 4

Problem : What expression does the represent?
= x 2 - 10x + 25

= x - 5

Problem : Evaluate (x - 9)(x + 9) .

x 2 - 81

Problem : Evaluate (7x + y)(7x - y) .

49x 2 - y 2

Problem : Evaluate (3x + 6y)(3x - 6y) .

9x 2 -36y 2

Problem : Evaluate (- 2x - 1)(- 2x + 1) .

4x 2 - 1

Problem : Evaluate (x 3 - x 2)(x 3 + x 2)

x 6 - x 4

Problem : What monomial does the represent?
(3y + )(3y - ) = 9y 2 - 64

= 8

Problem : What monomial does the represent?
(2x + )(2x - ) = 4x 2 -49y 2

= 7y

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