Question

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

Answer 1

Answer:

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

The zeros of the function are $x = \frac{1}{4}$ and $x = - \frac{1}{2}$.

Step-by-step 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 $x = \frac{1}{4}$ and $x = - \frac{1}{2}$. (Answer)