Question

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)=​

Answer 1

Answer:

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