Question

find cubic polynomial whose zeroes are3,-1and 1/2​

Answer 1

Step-by-step explanation:

the given zeros are

x = 3; x = -1, x = 1/2

x - 3 = 0; x + 1 = 0; 2x - 1 = 0

$(x - 3)(x + 1)(2x - 1) = 0 \\ ( {x}^{2} + x - 3x - 3)(2x - 1) = 0 \\ ( {x}^{2} - 2x - 3)(2x - 1) = 0 \\ 2 {x}^{3} - {x}^{2} - 4 {x}^{2} + 2x - 6x + 3 = 0 \\ 2 {x}^{3} - 5 {x}^{2} - 4x + 3 = 0$

the required cubic polynomial is

2x³ - 5x² - 4x + 3

Hope you get your answer