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

Completely factor the polynomial below.
8q^2+6q-5
A. (4q-1)(2q+5)
B. (4q+1)(2q-5)
C. (4q-5)(2q+1)
D. (4q+5)(2q-1)

Respuesta :

AthenaSinclair AthenaSinclair
  • 02-05-2018
The first step for solving this expression is to write 6q as a difference.
8q² + 10q - 4q - 5
Now factor out 2q from the first part of the expression (8q² + 10q).
2q × (4q + 5) - 4q - 5
Extract the negative sign from the second part of the expression (-4q - 5).
2q × (4q + 5) - (4q + 5)
Lastly,, factor out 4q + 5 from the expression to find your final answer.
(4q + 5) × (2q - 1) 
This means that the correct answer to your question is (4q + 5) × (2q - 1),, or option D.
Let me know if you have any further questions.
:)
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