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

Question

(x+

)(x+

)=0
Remaining Attempts : 3

Answer 1

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

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

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

Now, we can write the factored form of the equation:

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

So the lesser number is 2 and the greater number is 8.

Final answer: \((x + 2)(x + 8) = 0\)