Question

IF ONE ZERO OF THE QUADRATIC POLYNOMIAL
P(X) is 6.

THEN FIND THE OTHER ZERO

P(X)= X square - 5x - 6
​

Answer 1

Answer:

the other zero = -1

Step-by-step explanation:

one zero = 6

other zero = ? [ let it be a ]

Given polynomial,

p(x) = x² - 5x - 6

it is of the form ax² + bx + c

a = 1, b = -5 , c = -6

_______________________

⇒ sum of zeroes = -b/a

      6 + a = -(-5)/1

      6 + a = 5

      a = 5 - 6

      a = -1

the other zero = -1

_________ [ OR ] _________

⇒ Product of zeroes = c/a

       6 × a = -6/1

      6a = -6

       a  = -6/6

       a = -1

the other zero = -1

_________________________