Answer:
A. -1, multiplicity 1; 0, multiplicity 1; 3, multiplicity 1.
Step-by-step explanation:
Let [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex], to determine its roots and multiplicities we proceed to factorize the polynomial:
1) [tex]-x^{3}+2\cdot x^{2} +3\cdot x[/tex] Given
2) [tex]x\cdot (-x^{2}+2\cdot x + 3)[/tex] Distributive property
3) [tex]x\cdot (x-3)\cdot (x+1)[/tex] Quadratic formula/Result
The roots and multiplicities of [tex]f(x) = -x^{3}+2\cdot x^{2} + 3\cdot x[/tex] are:
0 (multiplicity 1)
3 (multiplicity 1)
-1 (multiplicity 1)
Therefore, the correct answer is A.
Answer:
The answer would be A!
Step-by-step explanation:
I did the question in class today. I hope this helped!
