Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
The potential roots of the function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex] are -10,-5,3,15.
Given function p(x)=[tex]x^{3}+6x^{2} -7x-60[/tex]
We have to find the potential roots of the function according to rational root theorem.
Root is the solution of an equation usually expressed as a number or an algebraic formula.
The rational root theorem is used to find the potential roots of function.
For a polynomial function:
p(x)=p[tex]x^{n}[/tex]+..............................+q
The potential roots are:
Roots =±factors of q/factors of p
Th factors of 60 are =±1,±2,±3,±4,±5,±6,±10,±12.
The factors of 1 is ±1.
So we have factors are:±1,±2,±3,±4,±5,±6,±10,±12,±15,±20/±1
The roots are =±1,±2,±3,±4,±5,±6,±0.
Factors:-10,-5,3,15.
Hence the potential roots are -10,-5,3,15.
Question is incomplete as it should includes options :-10,-7,-5,3,15,24
Learn more about rational root theorem at https://brainly.com/question/10937559
#SPJ4
We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
