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CBSE Class 9 Answered

If x-k sqare is a factor of polynomial X to the power 2 - k to the power 2 x+k-3,then find the value of k
Asked by patitapabana11 | 14 May, 2019, 10:23: PM
answered-by-expert Expert Answer
x minus k squared space i s space a space f a c t o r space o f space t h e space p o l y n o m i a l space p left parenthesis x right parenthesis equals x squared minus k squared x plus k minus 3
rightwards double arrow x equals k squared space s a t i s f i e s space p left parenthesis x right parenthesis
rightwards double arrow open parentheses k squared close parentheses squared minus k squared open parentheses k squared close parentheses plus k minus 3 equals 0
rightwards double arrow k to the power of 4 minus k to the power of 4 plus k minus 3 equals 0
rightwards double arrow k equals 3
Answered by Renu Varma | 15 May, 2019, 11:01: AM
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