Question

Factorise
8x2 – 10x + 3

Answer 1

Answer:Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

:

Equation at the end of step 1

 (23x2 -  10x) -  3

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  8x2-10x-3  

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -10x  its coefficient is  -10 .

The last term, "the constant", is  -3  

Step-1 : Multiply the coefficient of the first term by the constant   8 • -3 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -10 .

     -24    +    1    =    -23  

     -12    +    2    =    -10    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -12  and  2  

                    8x2 - 12x + 2x - 3

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

                   4x • (2x-3)

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

                    1 • (2x-3)

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

                   (4x+1)  •  (2x-3)

            Which is the desired factorization

Step-by-step explanation:2x - 3) • (4x + 1

Answer 2

Step-by-step explanation:

$8 {x}^{2} - 10x + 3 \\ 8 {x}^{2} - 6x - 4x + 3 \\ 2x(4x - 3)1(4x - 3) \\ (4x - 3)(2x + 1)$

I hope it helps you