Question

enter the correct answer in the box.

what is the factored form of this expression?

(x^2 + 15x + 56)

substitute numerical values into the expression for (p) and (q).

((x + p)(x + q))

Explanation:

Identify the coefficients of the quadratic expression

$$ x^2 + 15x + 56 $$

$$ a = 1, \quad b = 15, \quad c = 56 $$

Find two integers that multiply to 56 and add to 15

$$ p \cdot q = 56 $$

$$ p + q = 15 $$

$$ 7 \cdot 8 = 56 $$

$$ 7 + 8 = 15 $$

Write the expression in factored form

$$ (x + 7)(x + 8) $$

Answer:

What is the factored form of this expression?

\(x^2 + 15x + 56\)

Substitute numerical values into the expression for p and q.

<blank>\((x + 7)(x + 8)\)</blank>