How do you find 2p(a) + p(a - 1) if p(x) = x^2 + x?

1 Answer
Jul 19, 2016

2p(a)+p(a-1)=3a^2+a.

Explanation:

Given poly. p(x)=x^2+x

To find p(a), we have to just put a, in place of x,

Hence, p(a)=a^2+a, and, p(a-1)=(a-1)^2+(a-1)=(a-1)(a-1+1)=a(a-1).

Therefore, 2p(a)+p(a-1)=2(a^2+a)+a(a-1)=2a^2+2a+a^2-a=3a^2+a.