fastlillian
fastlillian fastlillian
  • 02-05-2018
  • Mathematics
contestada

Completely factor the polynomial below. p^2+19p+60
A. (p+4)(p+15)
B. (p+4)(p-15)
C. (p-4)(p+15)
D. (p-4)(p+5)

Respuesta :

AthenaSinclair AthenaSinclair
  • 02-05-2018
The first step for solving this problem is to write 19p as a sum.
p² + 15p + 4p + 60
Factor out p from the expression.
p × (p + 15) + 4p + 60 
Now factor out 4 from the expression.
p × (p + 15) + 4(p + 15)
Lastly,, factor out p + 15 from the expression to find your final answer.
(p + 4) × (p + 15)
This means that the correct answer to your question is (p + 4) × (p + 15),, or option A.
Let me know if you have any further questions.
:)
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