5.
Value of P for which (2
10x + P) is exactly divisible by (x - 2) is
Answers
Answer:
answer P = -20
Step-by-step explanation:
x - 2 = 0
x = +2
(10x + P) = 0
(10(+2) + P) = 0
(20 + P) = 0
P = -20 Ans.
Given : (x^2 - 10x + P) is exactly divisible by (x-2)
To find : Value of p
Solution:
Long division method :
x - 8
(x-2) _| (x^2 - 10x + P) | _
x² - 2x
________
-8x + p
-8x + 16
______
p - 16
Remainder must be zero hence
p - 16 = 0
=> p = 16
Method 2 :
divisible by x - 2 hence x - 2 is a factor
x - 2 = 0 => x = 2
Substituting x = 2 in expression we must get 0
Hence 2² - 10(2) + p = 0
=> 4 - 20 + p = 0
=> p = 16
Hence Value of p is 16
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