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The coefficient of x in the first factor (ax + b). Use negative values for subtraction.
The constant term in the first factor (ax + b). Negative values give subtraction.
The coefficient of x in the second factor (cx + d).
The constant term in the second factor (cx + d). Negative values give subtraction.
Expanded result
12x² - 5x - 2

The fully simplified polynomial after collecting like terms

Expression(3x - 2) × (4x + 1)
First (F)12x²
Outer (O)3x
Inner (I)-8x
Last (L)-2
Combined middle term-5x
x² coefficient12
x coefficient-5
Constant term-2
x² (First)12
x (Outer + Inner)-5
Constant (Last)-2

(3x - 2) × (4x + 1) = 12x² - 5x - 2

  • The x² coefficient is 12, which comes from multiplying the leading terms 3x and 4x.
  • The middle term (-5x) is the sum of the Outer (3x) and Inner (-8x) products.
  • The constant term -2 is the product of the two constant values -2 and 1.

Next stepTo reverse this process (factor the result back into two binomials), look for two numbers that multiply to -24 and add to -5.

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