6:39 todsb.elearningontario.ca Unit 4 Activity 2_Assignment 2 PART A The following are actions of what to do when factoring any Polynomial Function. Your task is to place them in order and use connecting arrows to show appropriate pathways between them. You will also need to add the word YES or NO above each arrow appropriately. START Factor using (a x) +b = (ax b) [(ax) ? abx+b'] Is the polynomial a Is the polynomial a Are there perfect square Difference of two terms? FINISH Factor by grouping trinomial? Squares? Is it a sum of Factor using factors Are there squares? of c that sum to b Factor using (a b)2 three terms? Factor using grouping or other Cannot be factored Is the polynomial a Can it be factored Does a=1? method of choice Sum of Difference further? of Cubes? Determine factors Factor using from value of Are there Are the terms of the (a - b) (a + b) ac and b four terms? polynomial written in decreasing order by degree? Verify answer by Common Factor, if expanding possible Put terms in order by degree PART B 1. Factor the following polynomials. Remember, factoring strategies for quadratic polynomials may be needed here. a. 2x + x2 + 32x +16 b. m'+ 5m - 4m - 20 C. 64 - 324x4 d. x - 16 e. 64 + a f. 5x + 15 g. 27w - 0.729 h. x* + 4x2+ 16 i. 3x - 12x 25x* - 30x2 + 9 k. 3x - 11x3 - 27x2 + 99x 1. x4 + 3x3+ 2x2 + 2x + 4 m. x4 + 2x3 - 5x - 10 2. It is known that a quartic function with a leading coefficient of 1 can be factored into two quadratic functions according to this rule: x + ar +br? + cr +d = (x2 + px + q)(x2 + rx +s) = x'+ (p+r)x3+ (q+ s+ pr)x2 + (ps+ qr)x+qs Where: a ptr b = q +s+ pr c = ps + qr d = qs Using these parameters, create the following polynomials and state their quadratic factors. Verify the factors are correct. Five-term quartic polynomial Two-term quartic polynomial