Supply the numbers to write x^2+10x+16=0

Question

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:

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

Therefore, the factored form of the equation is:

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

So, you enter the numbers as:

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

The lesser number first is 2 and the greater is 8.