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CBSE Class 9 Answered

Find the value of k if x - 2 is a factor of P(x) = 2x2 - kx2 + 13x + 10
Asked by Topperlearning User | 14 Sep, 2017, 02:47: PM
answered-by-expert Expert Answer

 

begin mathsize 12px style Since comma space straight x space minus space 2 space is space straight a space factor space of space straight p left parenthesis straight x right parenthesis space equals space 2 straight x cubed space minus space kx squared space plus space 13 straight x space plus space 10 space by space factor space theorem comma straight p left parenthesis 2 right parenthesis space equals 0 2 cross times 2 cubed space minus space straight k space cross times cross times 2 squared space plus space 13 cross times 2 space plus space 10 space equals space 0 space space open square brackets space Putting space straight x equals 2 space in space equation space straight p left parenthesis straight x right parenthesis close square brackets 16 space minus space 4 straight k space plus space 26 space plus space 10 space equals space 0 52 space minus space 4 straight k space equals space 0 52 space equals space 4 straight k straight k space equals space 13 end style

Answered by | 14 Sep, 2017, 04:47: PM

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