Q. 244.0( 9 Votes )

# If f(x) = x3 + x2 – ax + b is divisible by x2 – x write the values of a and b.

a = 2, b = 0

Given,

A polynomial f(x) = x3 + x2 – ax + b

Which is divisible by x2 – x

Now,

x2 – x = (x – 1) = (x – 0)(x – 1)

(x – 0) and (x – 1) are factors of polynomial f(x)

f(0) = 0

03 + 0 – a × 0 + b = 0

b = 0

And f(1)

13 + 1 – a × 1 + b = 0

2 – a = 0

a = 2

a = 2 and b = 0

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