MPM 2DO Unit 3 - Assignment Name: Friday, April 1 st , 2022 50 PART A: Write only your final answer in the space provided. 1 mark each. [15 marks] 1. What is the degree of each polynomial? a. 523 + 2z2+ 2z b. 3x5 + 2x'y' - 4xy 2. Give an example for each: a. Monomial b. Trinomial 3. Simplify the following: a. (5y-2) - (3y -3) b. (-6c2)(5cd3) c. (2x - 1)2 4. Expand and simplify: a. 4(p + 3) b. (3m + 2)2 c. (a + 1)(a -1) 5. Factor the following: a. m - n2 b. 8x3 - 6x2 12 + 4xy c. x' + 6.x +9 d. 10p q-15 pq e. 4(x + 3) - y(x+3) 1PART B: [35 marks] Show ALL your work in the space provided in order to receive full marks. 1. Expand and simplify. a. (x + 2)(x 5) [2] b. 3(a 4)(a +1) [3] c. 3(p4)(2p+2)5(43p)(4+3p) [5] 2. Factor the following. Show your work. a. w2 +12w+20 [2] b. x2 12xy+36y2 [2] c. 4x2 - 4x - 3 [2] d. 16x2 -25y [2] e. 5mat - 10m2 + 12 - 2t [3] 3. Factor the following fully. Show your work. a. y* - 16 [3] c. 24x' - 2x2 -12x [3] 34. The backboard behind a basketball net is a rectangle Whose area can be represented by the trinornial 3x2 + 4x 20. a. Find binomials that represent the length and Width of the backboard. [3] b. If X represents 150m, nd the dimensions of the backboard, in centimeters. [2] 5. List all values of k such that each trinomial can be factored over the integers. Show your work. 5x2 + kx + 8 [3]