If the product of (x + 5) (x + r) = x^2 + 12x + s, what is the value of s?

Value of s is 35

Step-by-step explanation:

Step 1: Find s if (x + 5) (x + r) = x² + 12x + s

Left Hand Side ⇒ (x + 5) (x + r) = x² + rx + 5x + 5r (Using distributive property)

= x² + (5 + r) x + 5r

Right Hand Side ⇒ x² + 12x + s

Step 2: Equate the coefficients to find r.

(5 + r) = 12

⇒ r = 12 - 5 = 7

Step 3: Equate the constants to find s.

5r = s

⇒ s = 5 * 7 = 35