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CBSE Class 9 Answered

If (x - 2) is a factor of the polynomial x3 - 2ax2 + ax - 1, find the value of 'a'.
Asked by Topperlearning User | 14 Sep, 2017, 02:19: PM
answered-by-expert Expert Answer

left parenthesis straight x space minus space 2 right parenthesis space is space straight a space factor space of space straight p left parenthesis straight x right parenthesis space equals space straight x cubed space minus space 2 ax squared space plus space ax space minus space 1.
rightwards double arrow straight p left parenthesis 2 right parenthesis equals 0
rightwards double arrow left parenthesis 2 right parenthesis cubed space minus space 2 straight a left parenthesis 2 right parenthesis squared space plus space straight a left parenthesis 2 right parenthesis space minus space 1 space equals space 0
rightwards double arrow 8 space minus space 8 straight a space plus space 2 straight a space minus space 1 space equals space 0
rightwards double arrow 7 space minus space 6 straight a space equals space 0
rightwards double arrow 6 straight a space equals space 7
rightwards double arrow straight a space equals space space 7 over 6

Answered by | 14 Sep, 2017, 04:19: PM
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