The value of k will be -21.
How do find the factors of a quadratic expression?
If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β).
If x-7 =0
Then x =7
Substitute x =7 into f(x):
[tex]2(7)^2 - 11(7) + k[/tex]
[tex](98-77)+k\\\\ 21+k[/tex]
Therefore, k=-21 because 21+(-21)=0
Learn more about factored form of an expression here:
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