Question

factories
2 x ^2 - 8 x - 10​

Answer 1

Answer:

5 and -1 is the answer ok

Answer 2

2x2-8x-10)  

Final result :

 2 • (x + 1) • (x - 5)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (2x2 -  8x) -  10

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  2x2 - 8x - 10  =   2 • (x2 - 4x - 5)  

Trying to factor by splitting the middle term

3.2     Factoring  x2 - 4x - 5  

The first term is,  x2  its coefficient is  1 .

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

The last term, "the constant", is  -5  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -5 = -5  

Step-2 : Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -4 .

     -5    +    1    =    -4    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  1  

                    x2 - 5x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-5)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                   (x+1)  •  (x-5)

            Which is the desired factorization

Final result :

 2 • (x + 1) • (x - 5)

Hope it helps:)