MATH SOLVE

4 months ago

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

Accepted Solution

A:

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)