Question

10x^2+15x+5??? Rewrite the question by completing the square factor

Answer 1

Answer:

5 • (2x + 1) • (x + 1)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((2•5x2) +  15x) +  5

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  10x2 + 15x + 5  =   5 • (2x2 + 3x + 1)  

Trying to factor by splitting the middle term

3.2     Factoring  2x2 + 3x + 1  

The first term is,  2x2  its coefficient is  2 .

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

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

Step-1 : Multiply the coefficient of the first term by the constant   2 • 1 = 2  

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

     -2    +    -1    =    -3  

     -1    +    -2    =    -3  

     1    +    2    =    3    That's it

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

                    2x2 + 1x + 2x + 1

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

                   x • (2x+1)

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

                    1 • (2x+1)

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

                   (x+1)  •  (2x+1)

            Which is the desired factorization

So the answer is:

 5 • (2x + 1) • (x + 1)

Answer 2

Answer:

2 (that is the answer, hope i helped)