Question

Pls help simplify 24x2 − 52x + 20

Answer 1

Answer:

(3x - 1) • (2x + 5)

Step-by-step explanation:

Pull out like factors :

  24x2 + 52x - 20  =   4 • (6x2 + 13x - 5)  

Trying to factor by splitting the middle term

Factoring  6x2 + 13x - 5  

The first term is,  6x2  its coefficient is  6 .

The middle term is,  +13x  its coefficient is  13 .

The last term, "the constant", is  -5  

Step-1 : Multiply the coefficient of the first term by the constant   6 • -5 = -30  

Step-2 : Find two factors of  -30  whose sum equals the coefficient of the middle term, which is   13 .

     -30    +    1    =    -29  

     -15    +    2    =    -13  

     -10    +    3    =    -7  

     -6    +    5    =    -1  

     -5    +    6    =    1  

     -3    +    10    =    7  

     -2    +    15    =    13    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  15  

                    6x2 - 2x + 15x - 5

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

                   2x • (3x-1)

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

                   5 • (3x-1)

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

                   (2x+5)  •  (3x-1)

Answer 2

Step-by-step explanation:

$24x^{2} - 52x + 20$

Factoring this quadratic gives us the following:

$(8x - 4)(3x - 5)$