Question

annyeong armi if 0 and 1 the zero of the polynomial f (x)=2×^3-3×^2+q×+b, find the value of a and b​

Answer 1

Answer:

Given,

f(x)=2x

3

−3x

2

+ax+b

Roots x=0,1

f(0)=0⇒2(0)

3

−3(0)

2

+a(0)+b=0⇒b=0

f(1)=0⇒2(1)

3

−3(1)

2

+a(1)+0=0⇒−1+a=0⇒a=1

∴a=1,b=0

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Answer 2

Answer:

Given,

f(x)=2x

3

−3x

2

+ax+b

Roots x=0,1

f(0)=0⇒2(0)

3

−3(0)

2

+a(0)+b=0⇒b=0

f(1)=0⇒2(1)

3

−3(1)

2

+a(1)+0=0⇒−1+a=0⇒a=1

∴a=1,b=0