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Lesson 6 Workbook Support Questions 6A 1. Multiply the following polynomials. a) 5(x - 3) b) (2x - v) c) (x + 5)(2x - 7) d) (a + b)(a -b) e) (a+b ) 1) (x-2y)(x -2xy+5y?) One type of factoring not covered in the notes is Difference of Squares. This is probably one of the easiest and most recognizable types of factoring. Here are some examples: a) x3 -y' =(x-y)(x+y) Note that order in the factors is not important. b) 25x -64y' = (5x+8y)(5x-By) ox - w =(x -w)(x'+w) =(x-w)(x+w)(x'+w) Note that the third bracket cannot be factored further.2. Factor the following polynomials completely. a) 12xty -48xly b) a* -16 c) x'-7x+12 MHF 4UA Unit I/Workbook d) 3x3 -3x -216 e) x -x-30 f) 6a -1la-10 g) 10x - x-2Support Questions 6B 5. Complete the following chart. Graphs are given on the next page. The last two columns refer to end behaviour. Function Degree Dominant | Number How End End Term Of Many Beh Beh Turning Zeros X-*-00 Points a) f(x)=x -7x +1lr +7x- -12x b) f( x ) = 1 1 -r+4r +12x 4 3 c) f(x) =-2x3 +3x3 +36x+5 d) f(x) =x* -18xf (x ) +5 3 -2 b) f(x) -10f ( x ) 4 -3 2 5 6 7-3 Z 5 6 7 -5

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