Factorize: p2 15q 54.
Answers
Answer:
1.1 Factoring p2-15p-54
The first term is, p2 its coefficient is 1 .
The middle term is, -15p its coefficient is -15 .
The last term, "the constant", is -54
Step-1 : Multiply the coefficient of the first term by the constant 1 • -54 = -54
Step-2 : Find two factors of -54 whose sum equals the coefficient of the middle term, which is -15 .
-54 + 1 = -53
-27 + 2 = -25
-18 + 3 = -15 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 3
p2 - 18p + 3p - 54
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-18)
Add up the last 2 terms, pulling out common factors :
3 • (p-18)
Step-5 : Add up the four terms of step 4 :
(p+3) • (p-18)
Which is the desired factorization
Final result :
(p + 3) • (p - 18)