Problem 3 of 7
Convert monic quadratic x^2+3x-2 to vertex form by completing the square.
Hints
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
create a perfect-square trinomial.
Hidden until you reveal it.
Quadratic must be monic and in one variable.
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. Take half of the linear coefficient.
2. Square that value and balance it in the expression.
3. Factor the perfect-square trinomial and simplify the constant.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Forms that change the expression's value by adding without subtracting the square.