Question

liv) x² +3x - 8 by x-2​

Answer 1

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Answer 2

Answer:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -3x  its coefficient is  -3 .

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

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

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -3 .

     -10   +   1   =   -9     -5   +   2   =   -3   That's it

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

                     x2 - 5x + 2x - 10

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 :

                    2 • (x-5)

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

                    (x+2)  •  (x-5)