Question

⭐ METHOD REQUIRED ⭐

Multiple choice questions

-) When x³-2x²+ax-b is divided by x²-2x-3 , the remainder is x-6. The values of a and b respectively are :
a) -2,-6
b)2 and -6
c)-2 and 6
d)2 and 6

Answer as per class 9, Polynomial

Answer 1

HELLO DEAR,

given that:-

f(x) = x³ - 2x² + ax - b,

g(x) = x²-2x-3,

r(x) = x - 6

x²-2x-3) x³ - 2x² + ax - b ( x
x - 2x² - 3x
(-) (+) (+)
——————————
0 + 0 + x(a+3) - b

Here given that ,

remainder = x - 6

x(a+3) - b = x-6

on comparing both side,

we get,

x(a+3) = x

=> a+3 =1

=> a=-2

and

b = 6

I HOPE ITS HELP YOU DEAR,
THANKS

Answer 2

Heya!
Here's Your Answer
_____________________

The Answer Is Option (c)

Wondering How It Came??

Then Kindly Refer To The Attachment

Sorry for Inconvenience

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Hope This Helps......!!!!!

Regards Surya