The graph of f(x)=(x-2)³(x-1)²is_the x-axis at x=2?
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Answer:
Correct option is B)
f(x)=2x
3
+ax
2
+bx
f
′
(x)=6x
2
+2ax+b
Since f(x) cuts the x-axis three time
⇒f
′
(x) posses 2 real roots
⇒(2a)
2
−4.6.b>0
⇒a
2
>6b
Hence minimum possible value of a+b=3+1=4,a,bϵN
Step-by-step explanation:
hope it will help you
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