Question

Good Afternoon.......

plz help me in above Question which is in pic......

DON'T SPAM ....

​

Answer 1

Step-by-step explanation:

$\huge\mathtt\blue{\underline{\underline{\dag AnSwEr \dag}}}$

$\large\mathtt\green{\underline{\underline{\dag SoLuTiOn \dag}}}$

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\bold{>>}$ Factoring  5x2 + 6x - 459 

The first term is,  5x2  its coefficient is  5 .

The middle term is,  +6x  its coefficient is  6 .

The last term, "the constant", is  -459 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -459 = -2295 

Step-2 : Find two factors of  -2295  whose sum equals the coefficient of the middle term, which is   6 .

     -2295   +   1   =   -2294     -765   +   3   =   -762     -459   +   5   =   -454     -255   +   9   =   -246     -153   +   15   =   -138     -135   +   17   =   -118     -85   +   27   =   -58     -51   +   45   =   -6     -45   +   51   =   6   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -45  and  51 

                     5x2 - 45x + 51x - 459

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

                    5x • (x-9)

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

                    51 • (x-9)

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

                    (5x+51)  •  (x-9)

             Which is the desired factorization

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\large\mathtt\purple{\underline{\underline{\dag That's\ Solve \dag}}}$

$\large\mathtt\orange{\underline{\underline{\dag Hope\ It\ Helps\ You \dag}}}$