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Sec 4.5-Focus

Sec 4.5-Focus - a = x 2 – 81 b = p 2 – 49 c = 4y 2 –...

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Special Products page 4.5 - 13 Section 4.5 Focus Exercises 1. Identify the conjugate of the given binomial. a) The conjugate of (x + 5) is b) The conjugate of (y 6) is c) The conjugate of (3y + 9) is d) The conjugate of (4w 7) is e) The conjugate of (2x 3 8) is f) The conjugate of (6y 2 1) is 2. Multiply these conjugates. Each answer should be the difference of squares. You should use the shortcut and do these in just one step. a) (x + 3)(x 3) b) (y 8)(y + 8) c) (x 9)(x + 9) d) (7 x)(7 + x) e) (9 + y)(9 y) f) (1 3y)(1 + 3y) g) (5x + 1)(5x 1) h) (3y 8)(3y + 8) i) (4x 9)(4x + 9) j) (x 2 + 4)(x 2 4) k) (3x 2 6)(3x 2 + 6) l) (x 4y)(x + 4y) m) (3x y)(3x + y) n) (x 3 y)(x 3 + y) o) (x 2 3y)(x 2 + 3y) 3. The result of multiplying a pair of conjugates is shown. Fill in each set of parentheses with an appropriate binomial. (Check your work mentally by multiplying what you wrote in each set.)

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Unformatted text preview: a) ( )( ) = x 2 – 81 b) ( )( ) = p 2 – 49 c) ( )( ) = 4y 2 – 25 d) ( )( ) = 9m 2 – 100 Special Products page 4.5 - 14 4. Use the rule of Squaring the Binomial to find the following; try to do these in one step. a) (x + 7) 2 b) (w – 9) 2 c) (y – 1) 2 d) (m – 4) 2 e) (c – 10) 2 f) (p + 12) 2 g) (2x + 3) 2 h) (3x + 5) 2 i) (4y – 1) 2 j) (2y – 5) 2 k) (w 2 – 4) 2 l) (y 2 – 9) 2 5. The result of multiplying a pair of conjugates is shown. Fill in each set of parentheses with the appropriate binomial. a) ( ) 2 = x 2 + 18x + 81 b) ( ) 2 = x 2 – 2x + 1 c) ( ) 2 = x 2 + 20x + 100 d) ( ) 2 = x 2 – 6x + 9 e) ( ) 2 = x 2 + 14x + 49 f) ( ) 2 = x 2 – 12x + 36 g) ( ) 2 = x 2 + 4x + 4 h) ( ) 2 = x 2 – 22x + 121...
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Sec 4.5-Focus - a = x 2 – 81 b = p 2 – 49 c = 4y 2 –...

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