Question

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

Answer 1

Answer:

THE DEGREE OF POLYNOMIAL = 8

Answer 2

To find:

The degree of the polynomial $t^{8}-3t^{7}+2t^{5}-6t^{2}$

Concept:

• If $a_{0}x^{n}+a_{1}x^{n-1}+...+a_{n-1}x+a_{n}$ be a polynomial, where $a_{0}\neq 0$, then the polynomial is saidd to be of $degree\:n$.

• From this, we can conclude that the highest power of the term involved in a polynomial determines the degree of the polynomial.

• Also remember that, $n$ must be a non-negative integer.

Step-by-step explanation:

Here, the given polynomial is

$\quad t^{8}-3t^{7}+2t^{5}-6t^{2}$

We see that the leading term $t^{8}$ has the highest power of $t$ involved in the equation.

Then the highest power of $t$ is 8.

Final answer:

The degree of the given polynomial is 8.

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