Question

If the sum of the zeroes of the polynomial p(x) equal to (a+1) x square+ (2a+3) x + (3a+4) is -1 then find the product of it's zeroes.

Answer 1

Answer:

product of  zeroes.=2

Step-by-step explanation:

p(x)=(a+1)x²+(2a+3)x+(3a+4)

Let  α,β are zeros

so α+β=-(2a+3)/(a+1)=-1

so 2a+3=a+1

a =1 - 3= -2

Now αβ=(3a+4) / (a+1)

=-3(-2)+4 / -2+1

=-6+4/-1

=-2/-1

=2

product of it's zeroes.=2