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) =20x^2−12x+10x+6 =20x^2−2x+6
Elijah made a mistake when multiplying the terms -2 and 10x. He should have multiplied them to get -20x, not -2x.
To correct Elijah's mistake, the correct answer should be:
s(t)⋅h(t) = (4x−2)(5x−3) = 20x^2 − 12x + (-20x) + 6 = 20x^2 − 32x + 6.