Problem 27 of 7
Convert non-monic quadratic 5x^2+10x+2 to vertex form.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
factor leading coefficient before completing square.
Hidden until you reveal it.
Leading coefficient must be nonzero and not 1.
Enter your answer
No answer yet
Correct
Your answer is equivalent to the expected form.
Solution
Walkthrough
Walkthrough shown
Full solution stays hidden until you ask for it.
1. Factor the leading coefficient from the x terms.
2. Complete the square inside the grouped expression.
3. Adjust the constant and write a(x-h)^2+k.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Completing the square without factoring the leading coefficient from x terms.