Question 12 Rewrite x^2+8x-7 in the form (x-h)^2+k by completing the square. (x-4)^2+23 (x+4)^2+23 (x+4)^2-23 (x-4)^2-23

Question

Answer 1

## Step 1: Group the

terms### Isolate the terms with

.

## Step 2: Complete the square for the

terms### To complete the square for

, take half of the coefficient of the

term (which is 8), square it

, and add and subtract it inside the parenthesis.

## Step 3: Rewrite the perfect square trinomial### The expression

is a perfect square trinomial and can be factored as

. So,

## Step 4: Simplify the constant terms### Combine the constant terms:

. Thus,

.

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