Find k for which (x + 7) is a factor of x2 – kx + 14
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Answer:
- 9
Step-by-step explanation:
Let p ( x ) = x² - kx + 14
x + 7 = 0
x = - 7
p ( - 7 ) = ( - 7 )² - k ( - 7 ) + 14 = 0
49 + 7k + 14 = 0
49 + 14 + 7k = 0
63 + 7k = 0
7k = - 63
k = - 63 / 7
k = - 9
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