Question[i]. Write a quadratic function with zeros 8 and -3 . [啹, Write your answer using the variable x and in standard form with a leading coefficient of 1 . $$g(x)=$$

Studdy Solution
Expand the factored form to obtain the standard form. Distribute the terms:
$$g(x) = (x - 8)(x + 3)$$
Apply the distributive property (also known as FOIL: First, Outer, Inner, Last):
$$g(x) = x(x) + x(3) - 8(x) - 8(3)$$
$$g(x) = x^2 + 3x - 8x - 24$$
Combine like terms:
$$g(x) = x^2 - 5x - 24$$
The quadratic function in standard form with a leading coefficient of 1 is:
$$g(x) = x^2 - 5x - 24$$