Math, asked by Ananya18986, 3 months ago

middle term splitting x^2-9x-22 dont scam or else u will get reported​

Answers

Answered by itsbrainlybiswa
25

Factoring  x2+9x-22  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +9x  its coefficient is  9 .

The last term, "the constant", is  -22  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -22 = -22  

Step-2 : Find two factors of  -22  whose sum equals the coefficient of the middle term, which is   9 .

     -22    +    1    =    -21  

     -11    +    2    =    -9  

     -2    +    11    =    9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  11  

                    x2 - 2x + 11x - 22

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

                   x • (x-2)

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

                   11 • (x-2)

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

                   (x+11)  •  (x-2)

            Which is the desired factorization

THIS IS THE FULL EXPLANATION

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Answered by Anonymous
3

Step-by-step explanation:

Factoring x2+9x-22

The first term is, x2 its coefficient is 1 .

The middle term is, +9x its coefficient is 9 .

The last term, "the constant", is -22

Step-1 : Multiply the coefficient of the first term by the constant 1 • -22 = -22

Step-2 : Find two factors of -22 whose sum equals the coefficient of the middle term, which is 9 .

-22 + 1 = -21

-11 + 2 = -9

-2 + 11 = 9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 11

x2 - 2x + 11x - 22

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

x • (x-2)

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

11 • (x-2)

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

(x+11) • (x-2)

Which is the desired factorization

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