Question

If $f(x)= x^{3} +x^{2} - ax +b$ id divisible by $x^{2} - x$ write the value of a and b.

Answer 1

SOLUTION :  

Given : f(x) = x³ + x² - ax + b

g(x) = x² - x  

Remainder should be r(x) = 0  

[f(x) is divisible by g(x) ]

DIVISION PROCESS IS IN THE ATTACHMENT.

q(x) = x + 2  

r(x) = x(2 - a ) + b  

Now, r(x) = 0  

x(2 - a ) + b = 0

x(2 - a ) + b = 0x + 0

On comparing coefficient of x,

2 - a = 0

2 = a  

On comparing coefficient of constant term ,

b = 0

Hence, the value of a is 2 and b is 0 .

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