Question

Find a quadratic polynomial whose zeros are 5 by 2 and negative 4

Answer 1

Answer:

The quadratic polynomial is x² + 3/2x - 10.

Step-by-step explanation:

Sum of Zeroes = α+β

                        = 5/2+-4

                        =5-8/2

                        =-3/2

Product of Zeroes = α*β

                               = 5/2 * -4

                               = 5 * -2

                               = -10

x² - (α+β)x + αβ

∴x² - (-3/2)x + (-10)

∴x² + 3/2x - 10