Question

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

Answer 1

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