Find the value of k, if x – 3 is a factor of p (x) = x2 + x – k
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1
Answer:
12
Step-by-step explanation:
Given,
X - 3 is a factor of p(x)
=> x - 3 = 0
=>. x = 0+3
=>. x = 3
Now,
p(x) = x² + x - k
=> p(3) = (3)² + 3 - k
=> 9 + 3 - k = 0
=>. 12 - k. = 0
=>. -k = 0-12
=>. -k = -12
since, there is minus on both sides,
Therefore,
-k = -12
= k = 12
Therefore, the value of k is 12
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