Find the Complex Zeros of the polynomial function. Write f in factored form. Please show all work-need to understand how to work problem. Thank you!!!
f(x)=x^4+26x^2+25
Use the complex zeros to write f in factored form. Simplify your answer.
Solution
zeros => roots;
so for x 4 +26x 2 +25 = 0 ;
put t= x 2 ;
so equation becomes t 2 +26t+25 = 0 ;
roots = -b±b 2 -4ac /2a ;
= -26 ±26 2 -4*25*1/2
= -14 and -38 ;
so x 2 = -14 and x 2 = -38 ;
so x= i14 ,-i14and x= i38,-i38 ;
so equation in factors is (x-i14)(x+i14)(x-i38)(x+i38) = f(x)
.
Find the Complex Zeros of the polynomial function- Write f in factored.docx
1. Find the Complex Zeros of the polynomial function. Write f in factored form. Please show all
work-need to understand how to work problem. Thank you!!!
f(x)=x^4+26x^2+25
Use the complex zeros to write f in factored form. Simplify your answer.
Solution
zeros => roots;
so for x 4
+26x 2
+25 = 0 ;
put t= x 2
;
so equation becomes t 2
+26t+25 = 0 ;
roots = -b±b 2
-4ac /2a ;
= -26 ±26 2
-4*25*1/2
= -14 and -38 ;
so x 2
= -14 and x 2
= -38 ;
so x= i14 ,-i14and x= i38,-i38 ;
so equation in factors is (x-i14)(x+i14)(x-i38)(x+i38) = f(x)
