How do i solve 2+49x4+x

Step by step solution :

STEP1:Equation at the end of step 1

((49 • (x4)) - (2•7x2)) + 1 = 0

STEP 2 :

Equation at the end of step2:

(72x4 - (2•7x2)) + 1 = 0

STEP3:Trying to factor by splitting the middle term

 3.1     Factoring  49x4-14x2+1 

The first term is,  49x4  its coefficient is  49 .

The middle term is,  -14x2  its coefficient is  -14 .

The last term, "the constant", is  +1 

Step-1 : Multiply the coefficient of the first term by the constant   49 • 1 = 49 

Step-2 : Find two factors of  49  whose sum equals the coefficient of the middle term, which is   -14 .

     -49   +   -1   =   -50     -7   +   -7   =   -14   That's it

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

                     49x4 - 7x2 - 7x2 - 1

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

                    7x2 • (7x2-1)

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

                     1 • (7x2-1)

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

                    (7x2-1)  •  (7x2-1)

             Which is the desired factorization

Step-by-step explanation:

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