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.

find the answer for a, b, and c

Verified Answer :

The coefficients a, b & c come out to be 48,144, and -84 respectively.

The given expression is:

\((4x-2)*6(2x+7)\)

We can rewrite it as

\(6(4x-2)*(2x+7)\)

taking 2 as common from \(4x-2\)

\(12(2x-1)*(2x+7)\)

Multiply \((2x-1)\) with \((2x+7)\)

\(12(4x^{2} +14x-2x-7)\)

\(12(4x^{2} +12x-7)\)

\(48x^{2} +144x-84\)

What is the general form of a quadratic expression?

The general form of a quadratic expression is \(ax^{2} +bx+c=0\) with \(a eq 0\).

If we compare \(48x^{2} +144x-84\) with the general form of a quadratic equation

\(a=48\\b=144\\c=-84\)

Hence, the coefficients a, b & c come out to be 48,144, and -84 respectively.

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