Question

Find the zeroes of the quadratic polynomial f(x) = 6x² – 3.

Write the zeros of the quadratic polynomial f(x) = 6x² – 3.

Answer 1

To find the zeroes of the quadratic polynomial we will equate f(x) to 0 

∴ f(x) = 0

⇒ 6x² – 3 = 0

⇒ 3(2x² – 1) = 0

⇒ 2x² – 1 = 0

⇒ 2x² = 1 

⇒ `x^2 = 1/2` 

⇒ `x = +- 1/sqrt(2)` 

Hence, the zeroes of the quadratic polynomial f(x) = 6x² – 3 are `1/sqrt(2), -1/sqrt(2)`.