Question

Elijah used the distributive property to find the product of s(t) and h(t) . His work was marked incorrect. Explain Elijah's mistake. Correct Elijah's work to show the correct answer. s(t)⋅h(t)= (4x−2)(5x−3) =20x2−12x+10x+6 =20x2−2x+6

Answer 1

Elijah's mistake was in distributing the 10x term incorrectly. When distributing, you need to multiply each term of the first expression (4x) by each term of the second expression (5x - 3).

To correct Elijah's work, we need to distribute the 10x term correctly.

s(t)⋅h(t) = (4x − 2)(5x − 3) = 4x * 5x - 4x * 3 - 2 * 5x + 2 * 3
= 20x^2 - 12x - 10x + 6
= 20x^2 -22x + 6

So the correct answer is s(t)⋅h(t) = 20x^2 - 22x + 6.