Find the value of p when (x2+3x+p) is divisible by x-2.
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25
Question :
Find the value of p when (x2+3x+p) is divisible by x-2.
Solution :
x² + 3x + p is divisible by x-2.
So, x-2=0
==>x = 2
2 is the zero of the polynomial x² + 3x + p.
Substituting 2 in x place :
(2)² + 3(2) + p = 0
4 + 6 + p = 0
10 + p = 0
p = -10
Therefore, the value of p is -10 when x² + 3x + p is divisible by x-2.
Verification :
x² + 3x + p = 0
(2)² + 3(2) + (-10) = 0
4 + 6 - 10 = 0
0 = 0
Hence, verified !!
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Answer:
Maybe 20.......
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