Question

For what value of k, -4 is a zero of the polynomial x"2 - x - (2k+2)?

Answer 1

Hi user 

Here's the answer 
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Given: ( - 4 ) is the zero of the polynomial x² - x - ( 2k + 2 )

To find: Value of " k "

Proof: 

Lets substitute the value of ( - 4 ) in the polynomial instead of x.

= ( -4 )² - ( -4 ) - ( 2k + 2 ) = 0

= 16 + 4 - 2k - 2 = 0

= 20 - 2 - 2k = 0

= 18 - 2k = 0

=> 18 = + 2k

=> k = 18 / 2 = 9

Hence value of " k " = 9
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Hope my answer is correct

Have a good day :-)