Assignment:
Q1. (5x2 - 4xy + 4y2) - (2x2 - xy + 2y2)
Q2. 3x2y (2x2 - xy2 + 3y3)
Q3. (3x + 2)(5x - 4)
Q4. (2x - 7)2
Q5. (2a + 3b)(2a - 3b)
Q6. (12x4 - 16x3+ 8x) / (4x)
Q7. (3.2 x 106)(2.4 x 10-4)
Factor completely or state that the polynomial is prime.
Q8. 12x2 - 16x + 4
Q9. x2 - 256
Q10. x2 +10x - 24
Q11. 25y2 + 10y + 1
Q12. x2 - 5x - 24
Q13. 10x2 + 7x - 12
Perform the indicated operation.
Q14. x / (x + 2) + 2 / x
Q15. 3 / (x - 2) - 2 / (x + 5)
Q16. 2 / (x + 1) + 3 / (x2 - 1)
Solve the equations, express complex solutions in a + ib form.
Q17. (y - 3)2 = 7
Q18. x2 + 6x + 9 = 0
Q19. 2x2 - x - 6 = 0
Q20. x2 - 25 = 0
Q21. x2 - 5x - 6 = 0
Q22. x2 = 4x - 2
Q23. x2 + 3x + 1 = 0
Q24. x2 - 3x + 3 = 0
Q25. (x - 3)2 = -10
Q26. x2 + 2x + 3 = 0
Q27. Find the vertex of the parabola y = 2x2 - 8x + 7.
Q28. Find the y-intercept for the parabola y = x2 - 3x + 10.
Q29. Find the x-intercepts for the parabola y = -2x2 + 10x - 5.
Q30. Find the vertex of the parabola y = x2 + 16.
Q31. If f(x) = x2 + 2x + 1, find f(a).
Q32. If g(x) = x - x2 / 2, find g(0.1).
Q33. If f(x) = x2 + 3x + 4, find f(i) where i = (-1)1/2.
Provide complete and step by step solution for the question and show calculations and use formulas.