(a)
If (x + 5) is a factor of p(x) = x® – 20x + 5k then k = ?
(1. -
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to find the value of X , equate it with 0.
x+5=0
x=0-5
x= -5
found the value of X as -5
Now given : p(x)=x^2 - 20 x + 5 k
substituting the value of X in p(x).
p(x)=x^2 - 20 x + 5 k
p(-5)= -5^2 - 20 (5)+ 5 k
=>25 - 100 + 5k
equating the result with 0 so as to find the value of K .
25-100+5k=0
-75+5k =0
5k =0+75
5k =75
k=75/5
_____
k= 15
----------
THEREFORE THE VALUE OF K IS 15.
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