Question

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7. If a, b are the zeros of the polynomial f(x) = x2 - p (x + 1) - c then
(a + 1) (B + 1) =
(a) 1
(b) 0
(c)-1
(d) 2​

Answer 1

Step-by-step explanation:

f(x)= x2-p(x+1)-c=0

f(x)= x2-px-(p+c)=0

so alpha+betha=p

alpha× betha=(-p+c))

(alpha+1) (betha+1)=0

alpha×betha+alpha+betha+1=0

-p-c+p+1=0

-c+1=0

c=1 (ans)

so answer is OPTION A.

hope it's helpful to you ☺️