Question

Ify is a polynomial of degree n in x and first coefficient is 2 then D5-1(y) =

O
A 2n!
B
2(n!)x
С
2(n-1)!
None of these.​

Answer 1

Answer:

Is not a polynomial

Step-by-step explanation:

polynomial degree is three

Answer 2

Answer:

Option (A) , Answer: 2n!

Step-by-step explanation:

According to the question,we can write,

$y=2x^{5}+ax^{4} +bx^{3} +cx^{2} + gx^{1} +h x^{0} \\D(y)= 2*5 x^{4} +3bx^{2} +2cx^{1} +g\\or, D^{2} (y)=2*5*4x^{3} +3*2*b x^{1} +2c\\or, D^{3} (y)= 2*5*4*3x^{2} +3*2*1*b\\or,D^{4} (y)= 2*5*4*3*2x\\or, D^{5} (y)=2(5*4*3*2*1)=2(5!)$

For n degree polynomial,we can write,

$D^{n-1}(y)=2n!$