Math, asked by 45shreeji, 8 days ago

x^2-2x+48 solve by splitting method​

Answers

Answered by varsha235jain
0

Answer:

Step-by-step explanation:

Factoring  x2-2x-48  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  -48  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -48 = -48  

Step-2 : Find two factors of  -48  whose sum equals the coefficient of the middle term, which is   -2 .

     -48    +    1    =    -47  

     -24    +    2    =    -22  

     -16    +    3    =    -13  

     -12    +    4    =    -8  

     -8    +    6    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  6  

                    x2 - 8x + 6x - 48

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

                   x • (x-8)

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

                   6 • (x-8)

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

                   (x+6)  •  (x-8)

            Which is the desired factorization

Answered by arultheprince01
1

Answer:

see above my dear friend

Step-by-step explanation:

hope it helps u....,

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