Question

27) If A and B are the zero of the
quadratic polynomial x2- 25 then the
quadratic polynomial whose zeros
are (1+A) and (1 + B) is​

Answer 1

Step-by-step explanation:

For zeroes, let polynomial = 0 → x² - 25 = 0

→ x² = 25 → x = ± √25 → x = ± 5

Means A and B are 5 and - 5.

For the required polynomial:

Sum of roots S = (1 + A) + (1 + B)

= 1 + 5 + (1 - 5)

= 2

Product of roots P = (1 + A)(1 + B)

= (1+5)(1-5) = - 24

Polynomial is:

=> x² - Sx + P

=> x² - 2x + (-24)

=> x² - 2x - 24