Question

what are the values of a and b respectively if x=2 and x=0 are the zeroes of the polynomial f(x) = 2x^3-5x^2+ ax+ b

Answer 1

Answer:

Solution

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Correct option is

A

a=2

D

b=0

If f(2)=2(2)

3

−5(2)

2

+a(2)+b=0

⇒16−20+2a+b=0⇒2a+b=4

⇒f(0)=2(0)

3

−5(0)

2

+a(0)+b=0

⇒b=0⇒2a=4⇒a=2,b=0

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