the problem is f(x) = x2 + 3x +q. Given f(2) = 3, find f (-2)

Question

it is a problem of remainder theoram plss solve it. i need ur help...plss first try 2 find q n then x..m really sorry for d mistake now pls will u solve it...

Answer 1

f(x) = x^2 + 3x +q

 

f(-x) = x^2 - 3x +q

 

f(-x) - f(x) = -6x

 

f(-2) - f(2) = -6(2)

 

f(-2) = 3 - 12

 

f(-2) = -9

 

Notice we still don't know what q is.

Answer 2

Exactly as you said ...

f(2)=2^2+3*2+q = 10+q

seems like the statement of the problem's given is incomplete, f(2)+3 = WHAT???

once that is filled in you figure out q, then solve for f(-2)

 

Else is there a typo, you meant f(2) = 3?  If so, q = -7 ... And, you can proceed from there.