factorise p^2 - 8p - 65
Answers
Explanation:
Changes made to your input should not affect the solution:
(1): "p2" was replaced by "p^2".
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring p2-8p-65
The first term is, p2 its coefficient is 1 .
The middle term is, -8p its coefficient is -8 .
The last term, "the constant", is -65
Step-1 : Multiply the coefficient of the first term by the constant 1 • -65 = -65
Step-2 : Find two factors of -65 whose sum equals the coefficient of the middle term, which is -8 .
-65 + 1 = -64
-13 + 5 = -8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -13 and 5
p2 - 13p + 5p - 65
Step-4 : Add up the first 2 terms, pulling out like factors :
p • (p-13)
Add up the last 2 terms, pulling out common factors :
5 • (p-13)
Step-5 : Add up the four terms of step 4 :
(p+5) • (p-13)
Which is the desired factorization
Final result :
(p + 5) • (p - 13)
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