Question

HELP!!! this is factorising quadratic expressions which a does not equal 1

question- 8x squared -2x -3

Answer 1

f(x) = (4x - 1)(2x + 1)

The zeros of the function are
`x = (1)/(4)` and
`x = - (1)/(2)`.

Explanation:

The given quadratic expression is 8x² - 2x - 3.

Now, the factorization of this quadratic expression gives:

f(x) = 8x² - 2x - 3

⇒ f(x) = 8x² - 6x + 4x - 3

⇒ f(x) = 2x(4x - 3) + 1(4x - 3)

⇒ f(x) = (4x - 1)(2x + 1)

Hence, the zeros of the function are
`x = (1)/(4)` and
`x = - (1)/(2)`. (Answer)