Question
Factor.
x, squared, plus, 10, x, plus, 16
x
2
+10x+16
x, squared, plus, 10, x, plus, 16
x
2
+10x+16
Answers
GPT-4o mini
To factor the quadratic expression \( x^2 + 10x + 16 \), we will look for two numbers that multiply to \( 16 \) (the constant term) and add up to \( 10 \) (the coefficient of the linear term).
The factors of \( 16 \) are \( (1, 16), (2, 8), (4, 4) \). Out of these pairs, the pair \( (2, 8) \) adds up to \( 10 \).
Therefore, we can factor the expression as:
\[
x^2 + 10x + 16 = (x + 2)(x + 8)
\]
So, the factored form of \( x^2 + 10x + 16 \) is \( (x + 2)(x + 8) \).
The factors of \( 16 \) are \( (1, 16), (2, 8), (4, 4) \). Out of these pairs, the pair \( (2, 8) \) adds up to \( 10 \).
Therefore, we can factor the expression as:
\[
x^2 + 10x + 16 = (x + 2)(x + 8)
\]
So, the factored form of \( x^2 + 10x + 16 \) is \( (x + 2)(x + 8) \).