(5x² - 8x + 1) + (2x2 - 4x - 11)

7x^2 −12x−10

Step-by-step explanation:

 ((5x2 -  8x) +  1) +  (2x2 - 4x - 11)

Factoring  7x2-12x-10

The first term is,  7x2  its coefficient is  7 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   7 • -10 = -70

Step-2 : Find two factors of  -70  whose sum equals the coefficient of the middle term, which is   -12 .

     -70    +    1    =    -69

     -35    +    2    =    -33

     -14    +    5    =    -9

     -10    +    7    =    -3

     -7    +    10    =    3

     -5    +    14    =    9

     -2    +    35    =    33

     -1    +    70    =    69

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

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