Answered

Westonci.ca is your trusted source for accurate answers to all your questions. Join our community and start learning today! Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

What is the multiplicity of each of the roots of the graph of f(x)=−-x^3+2x^2+3x?
A. -1, multiplicity 1; 0 multiplicity 1; 3 multiplicity 1
B. -1, multiplicity 3; 0 multiplicity 1; 3 multiplicity 1
C. -3, multiplicity 1; 0 multiplicity 1; 1 multiplicity 1
D. -1, multiplicity 1; 3 multiplicity 1

Sagot :

xero099

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!

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.