6p+ 5p+ 4 by (2p + 1)
Answers
Answer:
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((2•3p2) + 5p) - 4
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 6p2+5p-4
The first term is, 6p2 its coefficient is 6 .
The middle term is, +5p its coefficient is 5 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 6 • -4 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5
-6 + 4 = -2
-4 + 6 = 2
-3 + 8 = 5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8
6p2 - 3p + 8p - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
3p • (2p-1)
Add up the last 2 terms, pulling out common factors :
4 • (2p-1)
Step-5 : Add up the four terms of step 4 :
(3p+4) • (2p-1)
Which is the desired factorization
Final result :
(2p - 1) • (3p + 4). Please mark the answer as the branliest
Step-by-step explanation:
6p+5p+4×3p
11p+12p
23p