Question

Find a quadratic polynomial with given numbers as the sum and product of zeroes respectively -2 and -3.​

Answer 1

Answer:

-

Answer ·

Loss. ............

Answer 2

Answer:

x² + 5x + 6

Step-by-step explanation:

Let,

α = - 2

β = - 3

α + β = - 2 + ( - 3 )

= - 2 - 3

α + β = - 5

αβ = - 2 ( - 3 )

αβ = 6

x² - ( α + β )x + αβ = 0

x² - ( - 5 )x + 6 = 0

x² + 5x + 6 = 0

Therefore, the quadratic polynomial is x² + 5x + 6.