Answer: (p - 1) • (5p + 3)
Step-by-step explanation: Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
STEP
1
:
Equation at the end of step 1
(5p2 - 2p) - 3
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 5p2-2p-3
The first term is, 5p2 its coefficient is 5 .
The middle term is, -2p its coefficient is -2 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 5 • -3 = -15
Step-2 : Find two factors of -15 whose sum equals the coefficient of the middle term, which is -2 .
-15 + 1 = -14
-5 + 3 = -2 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 3
5p2 - 5p + 3p - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
5p • (p-1)
Add up the last 2 terms, pulling out common factors :
3 • (p-1)
Step-5 : Add up the four terms of step 4 :
(5p+3) • (p-1)
Which is the desired factorization