Math, asked by afrahfatima434, 1 month ago

x^2 + 7x + 10 graph quadratic equation ​

Answers

Answered by hansapari08
0

Answer:

x= 5

x= 2

Step-by-step explanation:

The first term is,  x2  its coefficient is  1 .

The middle term is,  -7x  its coefficient is  -7 .

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   -7 .

     -10    +    -1    =    -11  

     -5    +    -2    =    -7    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)

            Which is the desired factorization

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