What would X/2x-14 • x^2-7x/5 equal to

x2+7x-2x-14

Final result:

(x + 7) • (x - 2)

Reformatting the input:

Changes made to your input should not affect the solution:

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

Step by step solution:

Step 1:

Trying to factor by splitting the middle term

1.1 Factoring x2+5x-14

The first term is, x2 its coefficient is 1.

The middle term is, + 5x its coefficient is 5.

The last term, "the constant", is - 14

Step-1 : Multiply the coefficient of the first term by the constant 1 • - 14 = - 14

Step-2 : Find two factors of - 14 whose sum equals the coefficient of the middle term, which is 5.

-14 + 1 = - 13

-7 + 2 = - 5

-2 + 7 = 5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 2 and 7

x2 - 2x + 7x - 14

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

x • (x-2)

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

7 • (x-2)

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

(x+7) • (x-2)

Which is the desired factorization

Final result:

(x + 7) • (x - 2)