Question

f(x)=x²-5x+6. find the zeroes of f(x)​

Answer 1

Answer:

The zeros of f ( x ) are x = 3 and x = 2.

Step-by-step-explanation:

The given quadratic polynomial is x² - 5x + 6.

To find the zeros of f ( x ), we have to equate f ( x ) to 0.

∴ f ( x ) = 0

⇒ x² - 5x + 6 = 0

⇒ x² - 3x - 2x + 6 = 0

⇒ x ( x - 3 ) - 2 ( x - 3 ) = 0

⇒ ( x - 3 ) ( x - 2 ) = 0

⇒ ( x - 3 ) = 0 OR ( x - 2 ) = 0

⇒ x - 3 = 0 OR x - 2 = 0

⇒ x = 3 OR x = 2

∴ The zeros of f ( x ) are x = 3 and x = 2.