Find a quadratic polynomial, the sum and product of whose zeroes are 3 and 2, respectively.?

Question

asked Jan 11, 2024 195k views

1 Answer

Costin · Answer 1 · 2024-01-17T00:07:19+0000

Sum of the zeroes = α+β = 3

Product of zeroes = αβ = 2

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

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

Therefore, The Quadratic Polynomial needed is
${x}^(2) - 3x + 2$

( α = Alpha,

β = Beta )