Question

the degree of the polynomial t⁸-3t⁷+2t⁵-6t²/t² is​

Answer 1

SOLUTION

TO DETERMINE

The degree of the polynomial

$\displaystyle \sf{ \frac{ {t}^{8} - 3 {t}^{7} + 2 {t}^{5} - 6 {t}^{2} }{ {t}^{2} } }$

CONCEPT TO BE IMPLEMENTED

Polynomial :

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a Polynomial :

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

EVALUATION

Here the given polynomial is

$\displaystyle \sf{ \frac{ {t}^{8} - 3 {t}^{7} + 2 {t}^{5} - 6 {t}^{2} }{ {t}^{2} } }$

The variable is t

We simplify the given polynomial as below

$\displaystyle \sf{ \frac{ {t}^{8} - 3 {t}^{7} + 2 {t}^{5} - 6 {t}^{2} }{ {t}^{2} } }$

$\displaystyle \sf{ = {t}^{8 - 2} - 3 {t}^{7 - 2} + 2 {t}^{5 - 2} - 6 {t}^{2 - 2} }$

$\displaystyle \sf{ = {t}^{6} - 3 {t}^{5} + 2 {t}^{3} - 6 {t}^{0} }$

$\displaystyle \sf{ = {t}^{6} - 3 {t}^{5} + 2 {t}^{3} - 6}$

Now the highest power of its variable that appears with nonzero coefficient is 6

Hence the required degree of the polynomial = 6

FINAL ANSWER

The degree of the polynomial = 6

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Answer 2

Answer:

Step-by-step explanation :