Question

If one zero of the polynomial x2 – √3x + 40 is 5, which is the other
zero

Answer 1

Answer:

If one zero of the polynomial x2 – √3x + 40 is 5, which is the other zero ?

Solution:

Let

p(x) = x2 – √3x + 40

= x2 – 5x – 8x + 40 = x(x – 5) – 8(x – 5) = (x – 5) (x – 8)

Now, for zeroes of given polynomial, put p(x) = 0

∴ (x – 5) (x – 8) = 0

x = 5 or x = 8

⇒ Hence, other zero is 8.

Hope that helps you ✌