Question

x^4-x2-56 please give answers​

Answer 1

The first term is,  x4  its coefficient is  1 .

The middle term is,  -x2  its coefficient is  -1 .

The last term, "the constant", is  -56

Step-1 : Multiply the coefficient of the first term by the constant   1 • -56 = -56

Step-2 : Find two factors of  -56  whose sum equals the coefficient of the middle term, which is   -1 .

     -56    +    1    =    -55

     -28    +    2    =    -26

     -14    +    4    =    -10

     -8    +    7    =    -1    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  7

                    x4 - 8x2 + 7x2 - 56

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

                   x2 • (x2-8)

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

                   7 • (x2-8)

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

                   (x2+7)  •  (x2-8)

Answer 2

x⁴ - 1x² - 56

x⁴ - x² - 56

⤵️

$( {x}^{2} - 8)( {x}^{2} + 7) {\mathbb \red{ \: answer}}$