Question

2. For what value of 'a' the polynomial g(x) is a factor of f(x) = x3-2x²+ax-3a ?
g(x) = 2x²-3x.
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Answer 1

Answer:

f(1) and f(−a) both are equal to 0 by factor theorem.

∴ f(1)=1+2+a+b=0 and f(−a)=−a

3

+2a

2

−a

2

+b=0

∴ a+b=−3 and −a

3

+a

2

+b=0

Thus, on solving two equations we get, a=−1 and b=−2