Find a degree 3 polynomial with real coefficients having zeros 2 and 3i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation including

P (x) =

Question

Mathematics

Allyson Larsen

1 November, 13:57

Find a degree 3 polynomial with real coefficients having zeros 2 and 3i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation including

P (x) =

+3

Answers (1)

Know the Answer?

Keyla Mcgee · Answer 1

f (x) = x³-2x²+9x-18

Step-by-step explanation:

complex zeros always occur in pairs.

zeros are 2,3i,-3i

f (x) = (x-2) (x-3i) (x+3i) = (x-2) ((x) ^2 - (3i) ^2)

= (x-2) (x^2-9i^2)

= (x-2) (x^2+9)

=x^3-2x^2+9x-18

Find a degree 3 polynomial with real coefficients having zeros 2 and 3i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation includingP (x) =

Find a degree 3 polynomial with real coefficients having zeros 2 and 3i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation including

P (x) =