Question

4x - (2x -9x) + 6 = (2x -3x) + (-9) - (4x - 2)​

Answer 1

Answer:

(9 - 4x) -  2x2  = 0

-2x2 - 4x + 9  =   -1 • (2x2 + 4x - 9)

Factoring  2x2 + 4x - 9  

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   2 • -9 = -18  

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   4 .

     -18    +    1    =    -17  

     -9    +    2    =    -7  

     -6    +    3    =    -3  

     -3    +    6    =    3  

     -2    +    9    =    7  

     -1    +    18    =    17  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

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