Question

Supply the numbers to write x2+10x+16=0 in its factored form. Enter the lesser number first.(1 point)
(x+ )(x+ )=0

Answer 1

To factor the quadratic equation \(x^2 + 10x + 16 = 0\), we need to find two numbers that multiply to 16 (the constant term) and add up to 10 (the coefficient of the linear term).

The two numbers that meet these criteria are 2 and 8, since:

- \(2 \times 8 = 16\)
- \(2 + 8 = 10\)

Thus, the factored form of the equation is:

\[
(x + 2)(x + 8) = 0
\]

So the answer is:

\((x + 2)(x + 8) = 0\)