Problem 1 :
Find the product and write the result in standard form.
(8 – 3i) (-2 – 3i)
Problem 2 :
Divide and express the result in standard form.
Problem 3 :
Solve the quadratic equation using the quadratic formula. Express the solution in standard form.
4x^{2} – 3x + 1 = 0
Problem 4 :
Find the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 5x^{2} + 10x - 5
Problem 5 :
Solve the problem.
The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the function
C(x) = 5x^{2} – 20x + 36
Find the number of automobiles that must be produced to minimize the cost.
Problem 6 :
Find the zeros of the polynomial function.
f(x) = x^{3} + 4x^{2} – 4x - 16
Problem 7 :
Divide using long division or synthetic division
Problem 8 :
Find a rational zero of the polynomial function and use it to find all the zeros of the function.
f(x) = x^{3} – 8x^{2} + 19x - 14
Problem 9 :
Find the domain of the rational function.
Problem 10 :
Find the vertical asymptotes, if any, of the graph of the rational function.
1) -25 - 18i
2) 8/13 + (1/13)i
3)
4) (-1, -10).
5) the required the number of automobiles is 2000.
6) x = -2, x = 2 and x = -4
7) 3m^{2} - 9m + 7 = 0
8) x = 2, x = 3 + √2 and x = 3 - √2
9) (-∞, 0) ∪ (0, 49) ∪ (49, ∞)
10) So, vertical asymptotes are x = 6, x = 9
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM