Answer:
Let f(x)=4x
3
+3x
2
−4x+k.
⇒(x−2) is a factor of f(x)
⇒ Remainder=0
⇒f(2)=4(2)
+3(2)
−4×(2)+k=0
⇒32+12−8+k=0
⇒36+k=0
∴k=−36
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Answers & Comments
Answer:
Let f(x)=4x
3
+3x
2
−4x+k.
⇒(x−2) is a factor of f(x)
⇒ Remainder=0
⇒f(2)=4(2)
3
+3(2)
2
−4×(2)+k=0
⇒32+12−8+k=0
⇒36+k=0
∴k=−36