227k views
4 votes
Simplify quantity x squared plus 6 x plus 8 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x − 4 x + 4

User Cam Tullos
by
6.8k points

2 Answers

5 votes

First off, remember that finding the x-intercepts means setting y equal to zero and solving for the x-values, so this question is really asking you to "Solve 4x2 – 2x – 5 = 0".

Now, let's start the completing-the-square process. To begin, we have the original equation (or, if we had to solve first for "= 0", the "equals zero" form of the equation). In this case, we were asked for the x-intercepts of a quadratic function, which meant that we set the function equal to zero

User Stephen Wan
by
7.0k points
3 votes

Answer:

  • D . x + 4

Explanation:

  • (x² + 6x + 8) / (x + 2) =
  • (x² + 2x + 4x + 8) / (x + 2) =
  • (x + 2)(x + 4) / (x + 2) =
  • x + 4

Correct choice is D

User Glguy
by
6.9k points
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