Supply the numbers to write x2+10x+16=0

Question

𝑥
2
+
10
𝑥
+
16
=
0
in its factored form. Enter the lesser number first.(1 point)
(x+
𝑥
+
)(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 \(x\)).

The two numbers that satisfy these conditions are 2 and 8, since:

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

Thus, we can factor the equation as follows:

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

So, the answer is:

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

In the requested format, enter the numbers:

• The lesser number first is 2.
• The greater number is 8.

Thus, the answer is: (x + 2)(x + 8) = 0

Filled in as:

• (x + 2)(x + 8) = 0.