Question

5a^2-a-4 factorizetion​

Answer 1

Answer:

(5a - 4)( a - 1)

Step-by-step explanation:

$= )5 {a}^{2} - a - 4 \\ by \: mid \: split \: term \\ = ) {5a}^{2} + 5a - 4a - 4 \\ = ) 5a(a + 1) - 4(a + 1) \\ = )(a - 1)(5a - 4)$

Hope it helped

Answer 2

Answer:

Step by Step Solution:



Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "a2"   was replaced by   "a^2". 

STEP1:Equation at the end of step 1

(5a2 - a) - 4

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  5a2-a-4 

The first term is,  5a2  its coefficient is  5 .

The middle term is,  -a  its coefficient is  -1 .

The last term, "the constant", is  -4 

Step-1 : Multiply the coefficient of the first term by the constant   5 • -4 = -20 

Step-2 : Find two factors of  -20  whose sum equals the coefficient of the middle term, which is   -1 .

     -20   +   1   =   -19     -10   +   2   =   -8     -5   +   4   =   -1   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -5  and  4 

                     5a2 - 5a + 4a - 4

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

                    5a • (a-1)

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

                    4 • (a-1)

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

                    (5a+4)  •  (a-1)

             Which is the desired factorization

Final result :

(a - 1) • (5a + 4)