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