Question

Write a quadratic polynomial, sum of whose zeroes is 3 and product is -8​

Answer 1

Answer:

x²-3x-18 is the answer.

Answer 2

Answer:

Sum of zeros, alpha + beta = 3

Product of zeros, alpha × beta = -8

${x}^{2} - ( \alpha + \beta )x + \alpha \beta$

${x}^{2} - (3)x + ( - 8)$

${x}^{2} - 3x - 8$

Required quadratic polynomial = x^2 - 3x - 8

Ans. x^2 - 3x - 8

Hope it helps.