<span>Part A: First, we factor out a^2 to obtain: a^2 [5x^2 - 19x - 4] = a^2[(5x+1)(x-4)]
Part B: By inspection, we can use the factors (x+7)(x+7). To check that we have indeed chosen correctly, we will multiply our factors to obtain x^2 + 7x + 7x + 49 =
x^2 + 14x + 49 = 0, which is correct.
Part C: Again, we can use trial and error and try the factors (x+10)(x-10). Multiplying throughout, we obtain x^2 + 10x - 10x - 100 = x^2 -100.</span>
It is TRUE that the conflict between Texan and Mexican troops in Anahuac was triggered by the unwarranted arrest and imprisonment of William B. Travis and Patrick C. Jack, two prominent fighters against the "Siete Leyes" issued by the government.
The changes based on "Siete Leyes" placed all governmental powers in the hands of the Mexican national government led by Santa Anna.
These government changes angered the Mexicans and Americans in Texas, leading to the Texan Revolution and the brief existence of the Texas Republic between 1836 and 1845.
Thus, the arrest of the duo triggered the Texas-Mexico conflict.
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The Kansas-Nebraska act repealed part of the Missouri Compromise