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CBSE Class 10 Answered

If there remainder on division x cube -kX square + 13 x - 21 by 2x - 1, - 21, find the quotient and value k . and find the zeros of a cubic polynomial x cube -k x square + 13x
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Asked by Indupriyakona98 | 24 May, 2019, 05:10: PM
answered-by-expert Expert Answer
straight f open parentheses straight x close parentheses equals straight x cubed minus kx squared plus 13 straight x minus 21 let 2 straight x minus 1 equals 0 straight x equals 1 half by space remainder space theorem straight f open parentheses 1 half close parentheses equals negative 21 straight f open parentheses 1 half close parentheses equals open parentheses 1 half close parentheses cubed minus straight k open parentheses 1 half close parentheses squared plus 13 open parentheses 1 half close parentheses minus 21 equals negative 21 rightwards double arrow open parentheses 1 half close parentheses cubed minus straight k open parentheses 1 half close parentheses squared plus 13 open parentheses 1 half close parentheses equals 0 rightwards double arrow open parentheses 1 half close parentheses squared minus straight k open parentheses 1 half close parentheses plus 13 equals 0 rightwards double arrow 53 over 2 equals straight k For space cubic space polynomial straight x cubed minus 53 over 2 straight x squared plus 13 straight x equals 0 straight x open parentheses straight x squared minus 53 over 2 straight x plus 13 close parentheses equals 0 straight x equals 0 comma open parentheses straight x squared minus 53 over 2 straight x plus 13 close parentheses equals 0 rightwards double arrow 2 straight x squared minus 53 straight x plus 26 equals 0 rightwards double arrow 2 straight x squared minus 52 straight x minus 1 straight x plus 26 equals 0 rightwards double arrow open parentheses straight x minus 26 close parentheses open parentheses 2 straight x minus 1 close parentheses equals 0 straight x equals 26 space or space straight x space equals 1 half space and space straight x equals 0
Answered by Arun | 24 May, 2019, 05:37: PM

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