Respuesta :

Answer: (3a + 2) • (4a2 - 2a + 9)

(no solution)

Step-by-step explanation:

Step by Step Solution

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STEP

1

:

Equation at the end of step 1

 (3a + 2) • ((22a2 -  2a) +  9)

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  4a2-2a+9

The first term is,  4a2  its coefficient is  4 .

The middle term is,  -2a  its coefficient is  -2 .

The last term, "the constant", is  +9

Step-1 : Multiply the coefficient of the first term by the constant   4 • 9 = 36

Step-2 : Find two factors of  36  whose sum equals the coefficient of the middle term, which is   -2 .

     -36    +    -1    =    -37

     -18    +    -2    =    -20

     -12    +    -3    =    -15

     -9    +    -4    =    -13

     -6    +    -6    =    -12

     -4    +    -9    =    -13

For tidiness, printing of 12 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 (3a + 2) • (4a2 - 2a + 9)