Question

If α and β are the zeroes of the polynomial 2x2+5x+1 , then the value of α+β+αβ
A)-2
B)-1
C)1
D)3​

Answer 1

-2

Step-by-step explanation:

$\alpha + \beta = - b \div a = - 5 \div 2$

$\alpha \beta = c \div a$

thus

$\alpha \beta = 1 \div 2$

so

$\alpha + \beta + \alpha \beta = (- 5 \div 2 )+ 1 \div 2 = - 2$