Question

Consider the following quadratic equation:

x2+6x+9=0
Step 1 of 2: Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answer 1

Explanation:

To factor the quadratic equation x^2 + 6x + 9 = 0, we need to find two linear factors. First, we look for two numbers that multiply to the constant term (9) and add up to the coefficient of the linear term (6x). In this case, those numbers are 3 and 3 because 3 * 3 = 9 and 3 + 3 = 6.

Now, we can express the quadratic equation as a product of two linear factors:

(x + 3)(x + 3) = 0

So, the factored form of the equation is (x + 3)(x + 3) = 0.