More Math questions on the degree and multiplicity of zeros of polynomials are presented. Answers to these questions are located in the lower part of the page.
Question 1What is the the degree of polynomial P defined by : P(x) = 2x  2?
Question 2What is the the degree of polynomial P defined by : P(x) = 2(x  2)(x^{2} + 5)?
Question 3What is the the degree of polynomial P defined by : P(x) = 5(x  2)(x^{3} + 5) + x^{5}?
Question 4Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 2)(x  1).
Question 5Give the zeros of polynomial P and list their multiplicities : P(x) = (x  2)^{2}(x + 4).
Question 6Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 5)^{3}(x  6)(x + 6).
Question 7Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 1)(x + 2) + (x + 1)(x + 2)^{2}.
Question 8Give the zeros of polynomial P and list their multiplicities : P(x) = (x  4)(x^{2} + 4)^{2}.
Question 9Give the zeros of polynomial P and list their multiplicities : P(x) = (x + 3)(x^{2} + 2x + 5)^{2}.
Question 10Give the zeros of polynomial P and list their multiplicities : P(x) = x( x  2)^{2}(x + 2).ANSWERS TO ABOVE QUESTIONS1) degree = 1 2) degree = 3 3) degree = 5 4) x =  2 with multiplicity = 1 , x = 1 with multiplicity = 1 5) x = 2 with multiplicity = 2 , x = 4 with multiplicity = 1 6) x =  5 with multiplicity = 3 , x = 6 with multiplicity = 2 7) x =  1 with multiplicity = 1 , x =  2 with multiplicity = 1 , x =  3 with multiplicity = 1 8) x = 4 with multiplicity = 1 , x = 2i with multiplicity = 2 , x =  2i with multiplicity = 2 9) x = 3 with multiplicity = 1 , x =  1 + 2i with multiplicity = 2 , x =  1  2i with multiplicity = 2 9) x = 0 with multiplicity = 1 , x =  2 with multiplicity = 3 More References and Linksmath questions and problems with detailed solutions.polynomials
