x^2+10x+24 your gonna make me fail so factor good

Answer 1

To factor the quadratic expression \(x^2 + 10x + 24\), we need to find two numbers that multiply to the constant term (24) and add up to the coefficient of the linear term (10).

The two numbers that fit this requirement are 4 and 6, since:

• \(4 \times 6 = 24\)
• \(4 + 6 = 10\)

Now we can write the factorization:

\[ x^2 + 10x + 24 = (x + 4)(x + 6) \]

So the factored form of the expression is \((x + 4)(x + 6)\).