Question 120630
Question:


It says write the degree of the following polynomials in standard form 
X+4x^2+5+2x^4 
3x^2+5x-X^3+1


Answer:

Degree of a polynomial is the highest degree of the terms of the polynomial.

Here,-
{{{ X+4x^2+5+2x^4 }}}

Degree of x = 1

Degree of 4x^2 = 2

Degree of 5 = 0

Degree of 2x^4 = 4


Here the highest degree is 4


So the degree of the polynimial, {{{ X+4x^2+5+2x^4 }}} is = 4

Similarly for the second question, {{{ 3x^2+5x-X^3+1}}}, degree is {{{3}}} beacause 3 is the highest exponent of the terms.



To write these polynomials in standard form, you have to write the terms in increasing or decreasing order.

So the answer is,

{{{2x^4+4x^2+x+5}}}  and

{{{-x^3 +3x^2 +5x +1 }}}