Question

If f(x) = ax^2 + bx + a is divided by (x – b) a , b ≠ 0 , remainder is ‘a’ , then a is

Answer 1

(A) b^2 (B) -1
(C) 0 (D) a + b

Answer 2

I get -1...
wanna see how?

Answer 3

I'm not positive, but I don;t think I made any mistakes...

Answer 4

Yes the answer is right, it matches the answer key.

Answer 5

but I assume you would like to know how to do the problem, right?

Answer 6

Yes

Answer 7

here's I I did it (I'm going to have to use synthetic division, so bear with me because I have to draw it)...just wait

Answer 8

Ok, no problem. Take your own time.

Answer 9

now we are told that the remainder
\[b^2(a+1)+a=a\to b^2(a+1)=0\]and since we are also told\[a,b\neq0\]that can only mean\[a+1=0\to a=-1\]