Question

p and q are the zeros of the polynomial x^2-x-2 form a quadratic polynomial whose zeros are 2 p + 1 and 2 q + 1​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

p(x) = x^2 -x -2

= x^2 -2x + x -2

=x(x-2) + 1(x-2)

=(x+1)(x-2)

Hence zeroes are x=-1, x =2

or p =-1, q = 2

2p+1 = 2×-1 +1 = -1

2q+1 = 2 × 2 + 1 = 5

Sum of zeroes are 2p+1+2q+1= 5-1=4

Product of zeroes = 5×-1 =-5

So required polynomial is

x^2 - (sum of zeroes)x + product of zeroes

= x^2 - 4x -5