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 numbers that satisfy these conditions 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 complete answer for the factored form is:

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

Entering the numbers in the format requested, the answer is:

(2)(8).