Question

If -2 and 3 are the zeros of the quadratic polynomial x2 + (a +1)x + b then
Full Marks :1​

Answer 1

Answer:

x2+ax+x+b

(-2)2+a(-2)+(-2)+b

4-2a-2+b

2-2a+b=0 (1st eq)

-2a+b+2=0

(3)2+a(3)+(3)+b

9+3a+3+b

12+3a+b=0

3a+b+12 (2nd eq)

2nd eq-1st eq

3a+b+12=0

-2a+b+2=0

(+) (-) (-)

5a+10=0

5a=-10

a=-2

I hope this answer may help you