Câu hỏi

C h o space f left parenthesis x right parenthesis equals open parentheses x squared plus x minus 1 close parentheses to the power of 2012 plus open parentheses x squared minus x minus 1 close parentheses to the power of 2012 minus 2. C h ứ n g space m i n h space f left parenthesis x right parenthesis colon left parenthesis x squared ┤ minus 1 right parenthesis

R. Roboctvx78

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Xác nhận câu trả lời

Giải thích

T a c o ˊ : f ( 1 ) = ( 1 + 1 − 1 ) 2012 + ( 1 − 1 − 1 ) 2012 − 2 = 0 ⇒ f ( x ) c hia h e ^ ˊ t c h o x − 1. T a c o ˊ : f ( − 1 ) = ( 1 − 1 − 1 ) 2012 + ( 1 + 1 − 1 ) 2012 − 2 = 0 ⇒ f ( x ) c hia h e ^ ˊ t c h o x + 1 S u y r a : f ( x ) c hia h e ^ ˊ t c h o ( x − 1 ) ( x + 1 ) = x 2 − 1.

$T a c \overset{o}{ˊ} : f (1) = (1 + 1 - 1)^{2012} + (1 - 1 - 1)^{2012} - 2 = 0 \Rightarrow f (x) c hia h \overset{ˊ}{\overset{e}{^}} t c h o x - 1. T a c \overset{o}{ˊ} : f (- 1) = (1 - 1 - 1)^{2012} + (1 + 1 - 1)^{2012} - 2 = 0 \Rightarrow f (x) c hia h \overset{ˊ}{\overset{e}{^}} t c h o x + 1 S u y r a : f (x) c hia h \overset{ˊ}{\overset{e}{^}} t c h o (x - 1) (x + 1) = x^{2} - 1.$