Respuesta :
Rhe polynomial is P(x) = x³ -2x² + 9x - 18 if the zeros are 2 and 3i and a lead coefficient of 1
What is polynomial?
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have:
The zeros of a polynomial are 2 and 3i and a lead coefficient of 1.
As we know, zeros of a polynomial are occurs in pairs
So the zeros are 2,3i,-3i
The factor form of a polynomial:
P(x) = (x- 2)(x - 3i)(x + 3i)
[tex]\rm P(x) =\left(x-2\right)\left(x^2+\left(-3\right)^2\right)[/tex]
[tex]\rm P(x) =\left(x-2\right)\left(x^2+9\right)[/tex]
[tex]\rm P(x) =x^3+9x-2x^2-18[/tex]
Thus, the polynomial is P(x) = x³ -2x² + 9x - 18 if the zeros are 2 and 3i and a lead coefficient of 1
Learn more about polynomial here:
brainly.com/question/17822016
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