Question

if the sum and product of the zeroes of the the quadratic polynomial is 7and12 respectively.find the polynomial​

Answer 1

the quadratic polynomial be f(x)= ax^2 + bx + c and its zeroes be

a + b = 8, ab = 12

if a=1, then b= -8 and c = 12

x^2-8x+12=(x-6)(x-2)

(x-6)(x-2)=0

(x-6)=0 or (x-2)=0

x=6 or x= 2

=6 and 2

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