Question

What is the constant in this expression? 8x – 2 - 6x^3

Answer 1

Answer:

Step-by-step solution :

STEP

1

:

Equation at the end of step 1

 (23x2 -  6x) -  3

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  8x2-6x-3  

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   8 • -3 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -6 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5  

     -6    +    4    =    -2  

     -4    +    6    =    2  

     -3    +    8    =    5  

     -2    +    12    =    10  

     -1    +    24    =    23  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 6x - 3