The quadratic equation x^2 + 8x + 15 = 0 can be rewritten as the equation below, where p and q are constants. (x - p)^2 = q
What is the value of p?

and

Step-by-step explanation:

Given

Required

Rewrite as:

Subtract 15 from both sides

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To make the equation a perfect square, follow these steps

---- the coefficient of x

Divide both sides by 2:

Square both sides

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So, we add 16 t0 both sides of:

Factorize:

By comparison to:

and

So, we have:

and

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>