if x=2 and x=0 are roots of the polynomial f(x)= 2x^3 -5x^2+ax+b . find the value of a and b .

Answers (1)

solution:  we have ,

f(x)=2x^2-5x^2+ax+b

	herefore f(2)=2	imes2^3-5	imes2^2+a	imes2+b=2a+b-4

f(0)=2	imes0-5	imes0+a	imes0+b=b

since x=2 and x=0 are roots of the polynomial f(x)

	herefore f(2)=0   and   f(0)=0

Rightarrow 2a+b-4=0    and   b=0

Rightarrow 2a-4=0 and b=0     Rightarrow a=2   and   b=0

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