Elijah used the distributive property to find the product of s(t) and h(t). His work below was marked incorrect. FIRST, explain Elijah's mistake. SECONDLY, correct Elijah work to show the correct answers.
s(t) x h(t) = (4x-2) (5x -3)
= 20x^2- 12x + 10x +6
= 20x^2 - 2x + 6
Elijah made a mistake when distributing the terms in the second parentheses. He correctly multiplied 4x by both terms in the second parentheses, but he mistakenly multiplied -2 by both terms instead of distributing it.
To correct Elijah's work, we need to distribute the -2 properly.
The correct work is as follows:
s(t) x h(t) = (4x-2) (5x -3)
= 20x^2 - 12x - 10x + 6
= 20x^2 - 22x + 6