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What is the sum of all possible values of k for which x^2 + kx - 10x + 16 is the square of a binomial?

 Dec 18, 2020
 #1
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(x-4)^2      This is the squared binomial which results in a '+16' constant

x^2 -8x + 16

k-10 must = -8

k = 2

 Dec 18, 2020
 #2
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Oh yah...it could be    (x+4)^2

                                    x^2 +8x + 16

   in this case    k-10 = 8

                         k = 18    or  k = 2       summed = 20

Guest Dec 18, 2020

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