Question

When x°-ax2 + x is divided by (x -a), the remainder is
(a) o
O (b) a
0 (d) none
ОО
(C) 2a​

Answer 1

Step-by-step explanation:

x-a)-ax²+x+1(-ax+(1-a²)

-ax²+a²x

____________

(1-a²)x+1

(1-a²)x-(a-a³)

________________

1+a-a³

Answer 2

Rectified Question:-

When p(x)=x³ +ax²+x is divided by (x+a), the remainder is _________.

(a) 0

(b) a

(c) -a

(d) 2a

Solution:-

Putting,

Divisor = 0

x-a=0

x = a

Let, p(x) = x³ +ax²+ x

Putting, x = a

p(a) = (a)³+a(a)² +a

p(a) = $\cancel{a^3} - \cancel{a^3}$+a

p(a) = a

Thus, Remainder = p(a) = a.

Hence, (b) a is the correct option.