if f(x) is a polynomial of degree 'n' such that the sum of the coefficients of even powers of x - Maths - Polynomials

Question

if f(x) is a polynomial of degree 'n' such that the sum of the
coefficients of even powers of x is equal to the sum of the
coefficients of odd powers of x then
a f(1)=0 b f(-1)=0 c f(2)=0 d f(3)=0 plz explain

Bhavana Majji · Accepted Answer

Dear student,
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5cf13848e1ccc%20jpg">
Regards

if f(x) is a polynomial of degree 'n' such that the sum of the coefficients of even powers of x is equal to the sum of the coefficients of odd powers of x then a.f(1)=0 b.f(-1)=0 c. f(2)=0 d. f(3)=0 plz explain

if f(x) is a polynomial of degree 'n' such that the sum of the coefficients of even powers of x is equal to the sum of the coefficients of odd powers of x then
a.f(1)=0 b.f(-1)=0 c. f(2)=0 d. f(3)=0 plz explain