Question

Plz solve this questionIts too much urgent​

Answer 1

Standard form of the polynomial is $x^{7}-2 x^{6}-3 x^{5}+x^{2}+\sqrt{2} x+4$.

Degree of the polynomial is 7.

Solution:

Given polynomial:

$x^{7}-3 x^{5}+\sqrt{2} x+x^{2}-2 x^{6}+4$

To write this polynomial in standard form:

$x^{7}-3 x^{5}+\sqrt{2} x+x^{2}-2 x^{6}+4$

Standard form of the polynomial is writing x from highest power to lowest power.

Therefore, standard form of the polynomial is

$x^{7}-2 x^{6}-3 x^{5}+x^{2}+\sqrt{2} x+4$

Degree of the polynomial:

The highest power of x in the polynomial is the degree of the polynomial.

Here, the highest power is 7.

Hence the degree of the polynomial is 7.