PLZ PLZ HALP!!Match each polynomial with the appropriate explanation regarding the roots of the related polynomial equation.(A) (x+4)(x−4)[x−(2−i)][x−(2+i)](B) (x+i)(x−i)(x−2)3(x−4)(C) (x+3)(x−5)(x+2)^2(D) (x+2)2(x+1)^2(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2 .(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2 .(3) The related polynomial equation has a total of two real roots; both roots are real and have a multiplicity of 2 .(4) The related polynomial equation has a total of six roots; two roots are complex and the one of the remaining real roots has a multiplicity of 3 .(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.(6) The related polynomial equation has a total of three roots; all three roots are real and one root has a multiplicity of 2 .
Accepted Solution
A:
Answer:(A) - (5)(B) - (4)(C) - (1)(D) - (2)Step-by-step explanation:(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]
(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.
(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).
(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.
(C) We are given the polynomial (x+3)(x−5)(x+2)²
(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.
(D) We are given the polynomial (x+2)²(x+1)²
(2) The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)