Problema Solution
Information is given about a polynominal f(x) whose coefficients are real numbers. Find the remaing zeros of f.
Degree 4; zeros: 6i, 3, -3
Enter the remaining zeros of f.
Answer provided by our tutors
step1
given 3 zeros = 6i ,3,-3
step2
we know complex roots occurs in pairs
if root is x+iy than other must be x-iy
so if one rootis 6i than other must be -6i
step3
so all 4 zeros are
6i ,-6i ,3 ,-3
step4
you can also find function of 4 degree
asuming
f(x)= ax^4 +bx^3+cx^3+dx+e=0
and using
sum of roots and product of roots principle