If in the polynomial p(x)=4x2+3x+9,p(a)= 4p(-a/2), then what is the value of a pls explain in detail I am unable - Maths - Polynomials

Question

If in the polynomial p(x)=4x2+3x+9,p(a)= 4p(-a/2), then
what is the value of a
pls explain in detail I am unable
tounderstand

Sneha Apar · Accepted Answer

Dear Student,p(x)=4x2+3x+9If p(a)=4p(-a2)
(i)Now,p(a)=4a2+3a+9and,p(-a2)=4(-a2)2+3(-a2)+9=a2-32a+9So,4p(-a2)=4(a2-32a+9)⇒4p(-a2)=4a2-6a+36From equation (i), we get;p(a)=4p(-a2)⇒4a2+3a+9=4a2-6a+36⇒3a+6a=36-9⇒9a=27⇒a=3Regards

If in the polynomial p(x)=4x2+3x+9,p(a)= 4p(-a/2), then what is the value of a pls explain in detail I am unable tounderstand.

If in the polynomial p(x)=4x²+3x+9,p(a)= 4p(-a/2), then what is the value of a
pls explain in detail I am unable to_understand.