Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
One can determine the number of roots by seeing the degree of the given polynomial.
The number of roots can be determined by just seeing the highest power of the given equation.
1) for the equation x-4=0
here, the highest power of the equation is one. So, it will have one root.
What is the polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtract multiplication, on, and non-negative integer exponentiation of variables.
Let's check it by simplifying x-4=0 which implies x=4
Hence, the equation has only one root namely x = 4.
2) Consider a quadratic equation,
10t^2-t-3=0
here, the highest power of the equation is two. So, it will have two roots.
Let's check it by simplifying using the middle term splitting method,
10t^2+5t-6t-3=0
5t(2t+1)-3(2t+1)=0
(5t-3)(2t+1)=0
t=-3/5 or t=-1/2
Thus, the equation has two roots.
Hence, one can determine the number of roots by seeing the degree of the given polynomial.
To learn more about the polynomial visit:
https://brainly.com/question/2833285
#SPJ1
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.
