5p^2+13p+6 plz give full answer
Answers
Equation at the end of step 1
(5p2 - 13p) - 6
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 5p2-13p-6
The first term is, 5p2 its coefficient is 5 .
The middle term is, -13p its coefficient is -13 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 5 • -6 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -13 .
-30 + 1 = -29 -15 + 2 = -13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 2
5p2 - 15p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
5p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(5p+2) • (p-3)
Which is the desired factorization
Final result :
(p - 3) • (5p + 2)
STEP 1 : Equation at the end of step 1
(5p2 - 13p) - 6
STEP 2 : Trying to factor by splitting the middle term
Factoring 5p2-13p-6
The first term is, 5p2 its coefficient is 5 .
The middle term is, -13p its coefficient is -13 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 5 • -6 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -13 .
-30 + 1 = -29
-15 + 2 = -13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and 2
5p2 - 15p + 2p - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
5p • (p-3)
Add up the last 2 terms, pulling out common factors :
2 • (p-3)
Step-5 : Add up the four terms of step 4 :
(5p+2) • (p-3)
Which is the desired factorization
(p - 3) • (5p + 2)