The coefficients a, b & c come out to be 48,144, and -84 respectively.
The given expression is:
[tex](4x-2)*6(2x+7)[/tex]
We can rewrite it as
[tex]6(4x-2)*(2x+7)[/tex]
taking 2 as common from [tex]4x-2[/tex]
[tex]12(2x-1)*(2x+7)[/tex]
Multiply [tex](2x-1)[/tex] with [tex](2x+7)[/tex]
[tex]12(4x^{2} +14x-2x-7)[/tex]
[tex]12(4x^{2} +12x-7)[/tex]
[tex]48x^{2} +144x-84[/tex]
What is the general form of a quadratic expression?
The general form of a quadratic expression is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].
If we compare [tex]48x^{2} +144x-84[/tex] with the general form of a quadratic equation
[tex]a=48\\b=144\\c=-84[/tex]
Hence, the coefficients a, b & c come out to be 48,144, and -84 respectively.
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