Question

Please solve these both questions by step-by-step explanation.

Answer 1

Answer:

34). (a) and 35. (c)

Step-by-step explanation:

34). $x^{11}+1=0$ ⇒ $x^{11} =-1$ ⇒ $x =\sqrt[11]{-1}$ ⇒ x = 1 and (x + 1) is the factor of $f(x) =x^{11} +1$

35). $f(x) =4x^{3} +3x^{2} -4x-3$

$f(-1)=4(-1)^{3} +3(-1)^{2} -4(-1)-3=0$ ⇒ (- 1) is the zero of given polynomial and (x + 1) is the factor of the polynomial.