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ICSE Class 10 Answered

find the value of k if 4x^3-2x^2+kx+5 leaves remainder -10 when divided by 2x+1
Asked by mdzaidakhtar44 | 30 Jan, 2018, 01:38: PM
answered-by-expert Expert Answer
begin mathsize 16px style 2 straight x plus 1 equals 0 rightwards double arrow straight x equals negative 1 half Given comma space remainder equals negative 10 Thus comma space the space value space of space 4 straight x cubed minus 2 straight x squared plus kx plus 5 space at space straight x equals negative 1 half space is space minus 10. rightwards double arrow 4 open parentheses negative 1 half close parentheses cubed minus 2 open parentheses negative 1 half close parentheses squared plus straight k open parentheses negative 1 half close parentheses plus 5 equals negative 10 rightwards double arrow negative 4 over 8 minus 2 over 4 minus straight k over 2 equals negative 10 minus 5 rightwards double arrow negative 1 half minus 1 half minus straight k over 2 equals negative 15 rightwards double arrow fraction numerator negative 2 minus straight k over denominator 2 end fraction equals negative 15 rightwards double arrow negative 2 minus straight k equals negative 30 rightwards double arrow negative straight k equals negative 28 rightwards double arrow straight k equals 28 end style
Answered by Rashmi Khot | 31 Jan, 2018, 09:35: AM

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