Question

find a quadratic polynomial the sum and the product of whose zeroes are 5 and -2

Answer 1

quadratic equation will be

x²-(sum of zeores)x+product of zeroes=0

x²-5x+(-2)=0,

x²-5x-2=0

Answer 2

Sum of zeros =5

Product of zeros =-2

Put the values in equation

x^2-(sum)x + Product

x^2-5x-2

It is the required answer

Hope it's helpful