Question

find the quadratic polynomial with 2 and 3 as the sum and product of its zeros respectively​

Answer 1

Answer:

${x }^{2} + 3x + 2$

Step-by-step explanation:

$a {x}^{2} + 3x \: + 2$

$\alpha + \beta = - 3 \\ \\ \alpha \beta = 2 \: \: \: \: \:$

$\alpha + \beta = - b \div a \\ \alpha \beta = c \div a$

let a =2 , -b=-3 , c=2

b=3

P(x) = ax^(2) + 3x + 2