Question

Factorize 5x2 + 31 x - 28.​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

5x2-31x-28

Final result :

(x - 7) • (5x + 4)

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(5x2 - 31x) - 28

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 5x2-31x-28

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

The middle term is, -31x its coefficient is -31 .

The last term, "the constant", is -28

Step-1 : Multiply the coefficient of the first term by the constant 5 • -28 = -140

Step-2 : Find two factors of -140 whose sum equals the coefficient of the middle term, which is -31 .

-140 + 1 = -139

-70 + 2 = -68

-35 + 4 = -31 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -35 and 4

5x2 - 35x + 4x - 28

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

5x • (x-7)

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

4 • (x-7)

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

(5x+4) • (x-7)

Which is the desired factorization