Answer:
The polynomial is [tex]x^3 + x^2-6x[/tex].
Explanation:
Given:
Real zeros: -3,0,2
Degree 3
To Find:
The polynomial
Solution:
Now, according to given information, x = -3, x = 0 and x = 2 are zeros of equation.
Then, x – (-3) x + 3, x and x – 2 are the factors of the equation.
Now, multiply the factors, such that we will get equation.
x(x + 3)(x – 2)
[tex]x(x^2 + 3-2x- 6)[/tex]
[tex]x(x^2+ x-6)[/tex]
[tex]x^3 + x^2-6x[/tex]
