write the expression (4x-2)*6(2x+7) in the standard form of a quadratic expression, ax^2+bx+c. What are the values of the coefficients of each term and the constant term
To find the standard form of the quadratic expression, we need to simplify the given expression.
(4x-2)(6(2x+7))
First, apply the distributive property on the inner parentheses:
(4x-2)(12x+42)
Now, apply the distributive property on the outer parentheses:
48x^2 + 168x - 24x - 84
Combine like terms:
48x^2 + 144x - 84
So, the quadratic expression in standard form is:
ax^2 + bx + c = 48x^2 + 144x - 84
The values of the coefficients are:
a = 48
b = 144
c = -84