SOLUTION: Write a polynomial function with rational coefficients in standard form with the given zeros.
[] means squre root
10. 2, 3, 5
11. [3] 2i
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-> SOLUTION: Write a polynomial function with rational coefficients in standard form with the given zeros.
[] means squre root
10. 2, 3, 5
11. [3] 2i
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You can put this solution on YOUR website! Write a polynomial function with rational coefficients in standard form with the given zeros.
[] means square root
10. 2, 3, 5
Three factors: (x-2)(x-3)(x-5)
FOIL (x-2)*(x-3) = (x^2 - 5x + 6) multiply this by (x-5), you should get:
x^3 - 10x^2 + 31x - 30
:
11. 2i
x^2 = ()^2; square both sides
x^2 = 3
(x^2 - 3) = 0; one factor
:
x = 2i
x^2 = (2i)^2
x^2 = 4i^2
x^2 = 4(-1)
x^2 = -4
(x^2 + 4) = 0 the other factor
:
FOIL (x^2 - 3)*(x^2 + 4) = x^4 + 4x^2 - 3x^2 - 12 = (x^4 + x^2 - 12)
