Question

Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5

the choices are
(x+3)
(x-3)
(x^2-9)
(x-8i)
(x^2+64)
(x-7-square root of 5)
(x^2-14x+44)
and (x^2-14x+54

Answer 1

• Options 2, 3, 4, 5, 7

Explanation:

Given roots:

• 3, 8i and 7 - √5

Polynomial with same roots will have factors of:

• (x - 3), (x - 8i) and (x - (7-√5))

So correct choices are:

• (x - 3)
• (x^2-9), has a factor of (x - 3)
• (x - 8i)
• (x^2+64), has a factor of (x - 8i)
• (x^2-14x+44), has a factor of (x - 7 + √5)