Find the polynomial from zeros zeros are 3i and 2-i

Step-by-step explanation:

complex numbers always come in pairs. So you have 4 roots to this polynomial

y = (x - 3i)(x + 3i)(x - 2 + i)(x - 2 - i)

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

y = (x^2 + 9) [(  x - 2)^2 - i^2]

y = (x^2 + 9) [x^2 - 4x + 4 + 1]

y = (x^2 + 9) (x^2 - 4x + 5)

y = (x^4 - 4x^3 + 14x^2 - 36x + 45)

The graph is below. Notice it never crosses the x axis which you could have predicted from all the complex roots.

5.5

step-by-step explanation:

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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