Question

If a and b are the zeros of the polynomial 2y^2+7y+5 write the value of a+b+ab

Answer 1

Hey!

Given polynomial :- 2y² + 7y + 5

• Sum of the Zeros =

$= \frac{ - coefficient \: of \: x}{coefficient \: of \: {x}^{2} }$


$a + b = \frac{ - 7}{2}$


• Product of the Zeros =

$= \frac{constant \: term}{coeff. \: \: \: of \: {x}^{2} }$


$ab = \frac{5}{2}$


• To find :- a + b + ab


$\frac{ - 7}{2} + \frac{5}{2} \\ \\ = \frac{ - 2}{2} \\ \\ = - 1$


So, a + b + ab = ( - 1 )

Answer 2

Answer:-1

Step-by-step explanation:here,

2y^2+7y+5

2y^2+5y+2y+5

(y+1) (2y+5)

a=-1, b=-5/2

Now,

a+b+ab=(-1)+(-5/2) +(-1) ×(-5/2)

-1-5/2+5/2

(-2-5+5)/2

-1