Question

A quadratic polynomial whose product of a sum of zeroes are - 1 upon 2 and minus one upon 12 respectively is a 6 X square + X - 12 6 x square minus x minus 12 12 x square + X - 6 12 x square minus x minus 6

Answer 1

Answer

Step-by-step explanation:

αβ = -1 / 2  ,  α + β = -1 / 12

quadratic polynomial =  k [x² - (sum) x  +  product] =  0

k [x² - (-1 / 12) x + -1 / 2] = 0

k [x² + x / 12  - 1 / 2] = 0

k ( 12x² + x - 6) / 12 = 0