Question

write the factored form o see examples 1, 2, 3, 4, an 22. ( x^2 + 15x + 44 )

Explanation:

Step1: Identify coefficients

For quadratic \(x^2 + 15x + 44\), \(a = 1\), \(b = 15\), \(c = 44\).

Step2: Find two numbers

Find two numbers that multiply to \(ac = 1\times44 = 44\) and add to \(b = 15\). The numbers are 11 and 4 (since \(11\times4 = 44\) and \(11 + 4 = 15\)).

Step3: Rewrite and factor

Rewrite the middle term: \(x^2 + 11x + 4x + 44\).
Group and factor: \((x^2 + 11x) + (4x + 44) = x(x + 11) + 4(x + 11) = (x + 11)(x + 4)\).

Answer:

\((x + 11)(x + 4)\)