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MAT1511 Assignment 2 (COMPLETE ANSWERS) 2025 - DUE April 2025

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MAT1511 Assignment 2 (COMPLETE ANSWERS) 2025 - DUE April 2025; 100% TRUSTED Complete, trusted solutions and explanations. For assistance, Whats-App 0.6.7-1.7.1-1.7.3.9. Ensure your success with us. ... 1. Let P(x) = x6−2x5−x4+x3+2x2+x−2(a) Determine whether (x−2)is a factor of P(x). (2)(b) Find all the possible rational zeros of P(x)by using the Rational Zeros Theorem. (2)(c) Solve P(x) = 0. (4)3. Find a fourth-degree polynomial with integer coefficients that has zeros 3iand −1, with −1azero of multiplicity 2. 3.Determine without converting the form and leave your answer in the form a+bi, where a,b∈R.(i)i21 (i+2)(i−3)(2)(ii)(1+2i)(3+i)−2+i(4)5. Simplify the following complex number, without changing the polar form and leave youranswer in polar form2∠2π333∠3π24∠7π3(6 Let Z = −1− √ 3i (i) Write Z in a polar form (2) (ii) Use De Moivre’s Theorem to determine Z 4 . (3) Z and leave your answer in polar form with the angle in radians (a) Z = 1−i √ 3 2 (5)  2, 5π 4  ,  2,− 5π 4  ,  −2,− π 4  . (3) (b) Convert into rectangular coordinates:  −4,− 13π 6 

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MAT1511
Assignment 2 2025
Detailed Solutions, References & Explanations

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Due Date: March 2025
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