Question

Find a quadratic polynomial, the sum and product of whose heroes are -3 and 2
respectively​

Answer 1

Answer:

x^2+3x+2

Step-by-step explanation:

sum of zeros is -3

product of zeros is 2

$\alpha + \beta = - 3 \\ \alpha \beta = 2 \\ a{x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ {x}^{2} - ( - 3x) + 2 \\ \\ {x}^{2} + 3x + 2\\ {x}^{2} + 1x + 2x + 2 \\ x(x + 1) + 2(x + 1) \\ (x + 1)(x + 2) \\ x + 1 = 0 \: \: \: \: \: x + 2 = 0 \\ x = - 1 \: \: \: \: \: x = - 2 \\ \alpha = - 1 \: \: \: \: \: \beta = - 2$