Multiply (4x + 3) (3x^2 - 5x + 6)

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answer:

(4x + 3) • (3x2 - 5x + 6)

step-by-step explanation:

step by step solution :

step   1   :

equation at the end of step   1   :

  (4x + 3) • ((3x2 -   5x) +   6)

step   2   :

trying to factor by splitting the middle term

2.1     factoring   3x2-5x+6

the first term is,   3x2   its coefficient is   3 .

the middle term is,   -5x   its coefficient is   -5 .

the last term, "the constant", is   +6

step-1 : multiply the coefficient of the first term by the constant   3 • 6 = 18

step-2 : find two factors of   18   whose sum equals the coefficient of the middle term, which is   -5 .

      -18     +     -1     =     -19

      -9     +     -2     =     -11

      -6     +     -3     =     -9

      -3     +     -6     =     -9

      -2     +     -9     =     -11

      -1     +     -18     =     -19

      1     +     18     =     19

      2     +     9     =     11

      3     +     6     =     9

      6     +     3     =     9

      9     +     2     =     11

      18     +     1     =     19

observation : no two such factors can be found

P = (24.5 x 2) + (31.7 x 2)

P = 112.4