Find expert answers and community insights on IDNLearn.com. Get the information you need from our experts, who provide reliable and detailed answers to all your questions.
Sagot :
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
#SPJ1
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.
