Answer:
See below, please.
Explanation:
The quadratic function in standard form would be
Y = 6x^2 - 24x - 84
To convert the quadratic function from factored form to standard form, we use the distributive property to multiply out the factors
Y = 6(x-7)(x+2)
Y = 6(x^2 + 2x - 7x - 14)
Y = 6(x^2 - 5x - 14)
Then, we simplify the equation by multiplying out the coefficient of x^2 and combining like terms
Y = 6x^2 - 30x - 84
Finally, we write the quadratic function in standard form by arranging the terms in descending order of degree
Y = 6x^2 - 30x - 84