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CBSE Class 10 Answered

Find the zeroes of polynomial  x cubed minus 7 x plus 6
Asked by rmadixit872 | 17 Jan, 2019, 01:08: PM
answered-by-expert Expert Answer
begin mathsize 12px style f left parenthesis x right parenthesis space equals space x cubed minus 7 x space plus space 6
l e t space x space equals space 1 comma space t h e n space f left parenthesis x right parenthesis space equals space 1 minus 7 plus 6 space equals space 0 space space semicolon space h e n c e space left parenthesis x minus 1 right parenthesis space i s space a space f a c t o r space o f space f left parenthesis x right parenthesis

l e t space u s space d i v i d e space f left parenthesis x right parenthesis space b y space left parenthesis x minus 1 right parenthesis
space space space space space space space space space space space space space space space _ _ _ _ _ _ _ _ _ _ _ _ _ _
left parenthesis x minus 1 right parenthesis space space space vertical line space space space x cubed minus 7 x space plus space 6 space space space space space space vertical line space space x squared minus space 6
space space space space space space space space space space space space space space space space space space space x cubed minus x
space space space space space space space space space space space space space space space space space _ _ _ _ _ _ _ _ _ _ _ _
space space space space space space space space space space space space space space space space space space space space space space space minus 6 x plus 6
space space space space space space space space space space space space space space space space space space space space space space space space minus 6 x plus 6
space space space space space space space space space space space space space space space space space _ _ _ _ _ _ _ _ _ _ _ _ _ _
space space space space space space space space space space space space space space space space space space space space space space space space space space space space 0
h e n c e space f left parenthesis x right parenthesis space equals space left parenthesis x minus 1 right parenthesis left parenthesis x squared minus 6 right parenthesis space space equals space left parenthesis x minus 1 right parenthesis left parenthesis x plus square root of 6 space right parenthesis space left parenthesis x space minus space square root of 6 space right parenthesis

z e r o s space o f space p o l y n o m i a l space space colon space space space 1 comma space plus square root of 6 space a n d space minus square root of 6 end style
Answered by Thiyagarajan K | 17 Jan, 2019, 03:21: PM
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