Question

If a and B are the zeros of the quadratic polynomial f(x) = x² - p(x + 1) - C, show that
(a + 1) (B + 1) = 1-C.​

Answer 1

Answer:

the quad ration equation 

f(x)=x2−p(A+1)−c

=x2−px−(p+c)

Comparing with ax2+bx+c, we have

a=1b=−pc=−(p+c)

∝+β=a−b=−1(−p)

∝β=ac=−(p+c)

∵(∝+1)(β+1) 

=∝β+∝+β+1

=−p−c+p+1

=1−c

∵(∝+1)(β+1)=1−c