If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and -3, then
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1st method
sum of zeroes = [-cofficient of x/cofficient of x^2]
2= -b/a
b=-2
a=1
product of zeroes =[constant term / cofficient of x^2]
-3=c/a
c= -3
a=1
we also know tge quadratic form is =ax^2+bx+c
a=1, b= -2, c= -3
x^2-2x-3
2nd method
x^2- (sum of zeroes )x+ product of zeroes
x^2-2x+(-3)
x^2-2x-3
all method we have same answer
hope it's helpful for u
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