1.

If 0 and 1 are the zeroes of the polynomial f(x) = 2x3 – 3x2 + ax + b, find the values of a and b.

Answer»

Given that f(0) = 0; f(1) = 0 and 

f(x) = 2x3 – 3x2 + ax + b 

∴ f(0) = 2(0)3 – 3(0)2 + a(0) + b 

⇒ 0 = b 

Also f(1) = 0

⇒ 2(1)3 – 3(1)2 + a(1) + 0 = 0 

⇒ 2 – 3 + a = 0. 

⇒ a = 1 

Hence a = 1; b = 0


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