Convert the expression x 2 −6x+11 to power form.

To convert the expression x^2 - 6x + 11 to power form, we first need to complete the square. Here are the steps:

1. Identify the coefficients in the quadratic equation. In this case, a = 1, b = -6, and c = 11.

2. To complete the square, we need to find the value that will make the equation a perfect square trinomial. This value is (b/2a)^2. In this case, it is (-6/2*1)^2 = 9.

3. Rewrite the equation, adding and subtracting the value found in step 2. The equation becomes x^2 - 6x + 9 - 9 + 11.

4. The first three terms now form a perfect square trinomial, which can be written as (x - b/2a)^2. The equation becomes (x - 3)^2 - 9 + 11.

5. Simplify the equation to get the final power form. The equation becomes (x - 3)^2 + 2.

So, the power form of the expression x^2 - 6x + 11 is (x - 3)^2 + 2.

To convert the expression x^2 - 6x + 11 to power form, we first need to complete the square. Here are the steps:

1. Identify the coefficients in the quadratic equation. In this case, a = 1, b = -6, and c = 11.

2. To complete the square, we need to find a value that can be added and subtracted to make the equation a perfect square trinomial. This value is (b/2a)^2. In this case, it is (-6/2*1)^2 = 9.

3. Rewrite the equation, adding and subtracting this value: x^2 - 6x + 9 + 11 - 9.

4. The first three terms now form a perfect square trinomial, which can be factored into (x - b/2a)^2. In this case, it is (x - 3)^2.

5. Simplify the remaining terms.

So, the expression x^2 - 6x + 11 in power form is (x - 3)^2 + 2.

To convert the expression x^2 - 6x + 11 to power form, we first need to complete the square. Here are the steps:

1. Identify the coefficients in the quadratic equation. In this case, a = 1, b = -6, and c = 11.

2. To complete the square, we need to find the value that will make the equation a perfect square trinomial. This value is (b/2a)^2. In this case, it's (-6/2*1)^2 = 9.

3. Rewrite the equation, adding and subtracting the value found in step 2. We get x^2 - 6x + 9 - 9 + 11.

4. The first three terms now form a perfect square trinomial, which can be written as (x - b/2a)^2. We get (x - 3)^2 - 9 + 11.

5. Simplify the equation to get the final power form. The equation in power form is (x - 3)^2 + 2.