Gitu saves 12k daily from her pocket money. At the end of each month, she uses this money to buy some
notebooks and distributes them to 5 orphans. If k represents the difference of the two zeroes of the quadractic
polynomial x2 - 7x + 12, then Find the zeroes of the given polynomial and the value of k.
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Answer:
a=1,b=7,c=12
Factors of x²+7x+12
=x²+4x+3x+12
=x(x+4)+3(x+4)
=(x+4)(x+3)
Zeroes of the polynomial
x²+7x+12 =0
(x+4)(x+3)=0
x= -4,-3
ZEROES = -4, -3
SUM OF ROOTS = -4-3=-b/a=-7/1
=> -7=-7
PRODUCT OF ROOTS= -4*-3=c/a
=> 12=12
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