Question

Find the quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively

Answer 1

Let the zeroes be a and b

a + b = -3

ab = 2

Required polynomial = k { $x^2 + x ( a + b ) + ab$ }, where k is any constant

= k { $x^2 + x ( -3 ) + 2$ }

= k { $x^2 -3x + 2$ }

Hope this helps you

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Answer 2

Let a and b be the roots.
Sum, a+b= -3
Product, ab= 2
So the polynomial is
x^2 - (a+b)x + ab
—->
x^2+3x+2