Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The polynomial of degree 3 is given by x³-3x²-40x+84.
The degree of a polynomial is the highest degree of the variables present with non-zero coefficients.
For example the polynomial [tex]{\displaystyle 2x^{2}y^{3}+8x+10}[/tex] has three terms. The first term has a degree of 5 (the sum of the powers 2 and 3), the second term has a degree of 1, and the last term has a degree of 0. Therefore, the polynomial has a degree of 5, which is the highest degree of any term.
A degree 3 polynomial having zeros α,β and γ and the coefficient of x³ equal a is
a(x-α)(x-β)(x-γ)
So the given zeroes of the polynomial are -6,8 and 7 and the coefficient of x³ is 1. So the desired polynomial is given by:
1(x+6)(x-2)(x-7)
=(x²-4x-12)(x-7)
=x³-3x²-40x+84
Hence the polynomial of degree 3 is given by x³-3x²-40x+84.
To learn more about the degree of a polynomial visit:
https://brainly.com/question/2284746
#SPJ9
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.
