Question

The sum and product of the zeroes of a quadratic polynomial are as follows. Find the Polynomials in each cases.
1. 2 and-15
2. -5 and 6
3. -2 and -15
4. 4 and 4

Answer 1

Heya !!!

★ 2 and -15

Sum of zeroes = 2


And,


Product of zeroes = -15


Therefore,



Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(2)X + (-15)


=> X²-2X - 15



★ -5 and 6



Sum of zeroes = -5



And,


Product of zeroes = 6


Therefore,


Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(-5)X + 6


=> X²+5X + 6


★ -2 and -15


Sum of zeroes = -2


And,


Product of zeroes = -15


Therefore,


Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(-2)X + (-15)


=> X²+2X-15


★ 4 and 4


Sum of zeroes = 4


and,


Product of zeroes = 4


Therefore,

Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes



=> X²-(4)X + 4


=> X²-4X+4



HOPE IT WILL HELP YOU..... :-)

Answer 2

Answers are in above attachment ⬆⬆

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