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If (4X+2)(2x-3) is written in standard form, what is the value of C?

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2 Answers

Standard form is ax2 + bx + c = 0.  You want to multiply out the two parentheses.  Some people call that FOIL. 
(4x + 2)(2x - 3)                  original problem
4x(2x - 3) + 2(2x-3)           distribution
4x2 -12x + 4x -6                 more distribution
4x2 -8x - 6                          combine like terms
c = -6                                 c is the term with no variable

The standard from is ax^2 + bx + c, where "c" is a free term. If you factor the quadratic expression then the free term equals to the product of free terms in binomials: - 2 and (-3). Thus, your answer is  c= - 6.