Question

Find the quadratic polynomial, the sum and product of whose zeros are -3 and 2 respectively.

Answer 1

Given,

$\alpha + \beta = - 3$

$\alpha \beta = 2$

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

$= {x}^{2} - ( - 3)x + 2 \\ = {x}^{2} + 3x + 2$

Answer 2

Answer:

α +β=-3

α•β=2

x2-(α+β)x+α•β

x2-(-3)x+2

x2+3x+2. ans