Find the value of 'p', if (x-p)is a factor of x5 - p2x3 + 2x +p + 3.hence,factorise x2 + 4px + 3
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Given (x-p) is the factor of
x^5-p²x³+2x+p+3
=> p^5 -p²(p)³+2(p)+p+3=0
=> p^5 -p^5+2p +p+3=0
=> 3p +3=0
=>3p= -3
=> p= -1
We know x-p=0
x=p
=> x= -1
Substitute this in the given second eq
x²+4px+3
(-1)²+4p(-1) +3=0
1-4p +3=0
-4p +4=0
-4p=-4
p=1
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