SOLUTION: Find the zeros of all the polynomial functions. Multiply the binomials together. You may use special products, and you may multiply conjugate pairs together first.
1. (x-3i)(x+3i)
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Question 203020: Find the zeros of all the polynomial functions. Multiply the binomials together. You may use special products, and you may multiply conjugate pairs together first.
1. (x-3i)(x+3i)(x-5)(x+4)
2. (x+3i)(x-3i)(x-2)(x+1)
3. (x+6)(x-7)(x-8)(x+4)(x-1)
4. (x+1)(x+2)(x-3)(x-4)(x+i)(x-i)
5. (x+2+i)(x+2-i)(x-i)(x+i)
6. (x-1+i)(x-1-i)(x+3)(x-5)
7. (x+i)(x-i)(x+1)(x-1)(x+3)
8. (x-i)(x+i)(x-3i)(x+3i)(x+2)(x-2)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If you think you are going to get someone to do your entire homework assignment for you, let me disabuse you of such a notion right now. I'll do one, and you can do the rest.
(x-3i)(x-2)(x+1))
(x-3i))
is a conjugate pair, so the product is the difference of two squares (remembering that 
):
^2 = x^2 - (-9) = x^2 + 9)
Multiply the other two factors using FOIL:
(x + 1) = x^2 - x - 2)
Now multiply the two partial products:
(x^2 - x - 2) = x^4 - x^3 - 2x^2 + 9x^2 - 9x - 18 = x^4 - x^3 + 7x^2 - 9x - 18)
John
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