If f(x) = x4 – 4x3 + 3x2 – 2x + 1 , then find whether f(0) × f( -1) = f(2)
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If f(x) = x4 – 4x3 + 3x2 – 2x + 1 , then find whether f(0) × f( -1) = f(2) - did not match any documents.
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Step-by-step explanation:
given ,
f(x)=x^4-4x^3+3x^2-2x+1
if x=0
=(0)^4 -4(0)^3+3(0)^2-2(0)+1
= 0-0+0-0+1
= 1
if x= (-1)
= (-1)^4 -4(-1)^3 +3(-1)^2 -2(-1) +1
= 1+4 + 3+2+1
= 11
if x=(2)
= (2)^4 - 4(2)^3 +3(2)^2-2(2)+1
= 16 - 32 + 12 - 4 +1
= 16+12-4+1
= 28-4+1
= 24+1
= 25
-: f(0)=1 ,f(-1)=11 ,f(2)=25
given:- f(0) × f(-1) =f(2)
1×11=25
11=25
:- therefore f(0)×f(-1) is not equals to f(2)
hope it helps you friend
have a great day a head
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