Assignment:
Q1. Factor: 48-16v+v^2
Q2. Simplify: 3 sq. rt -1/25
Q3. Simplify by factoring: sq rt 32a^2b
Q4. Multiply: (b+1/2)(b+1/4)
Q5. For the following equation, state the value of the discriminant and then describe the nature of the solution.
16x^2+5x+2=0
Q6. Factor completely: 144a^2+648ag+729g^2
Q7. Factor completely: 2x^7-12x^6+14x^5
Q8. Perform indicated operations and simplify: w-2/w-3 - w+1/w+3 + w-9/w^2-9
Q9. Identify the degree of each term of the polynomial and the degree of the polynomial.
-9x^3 + 4x^2 + 5x + 8
Q10. Add. Simplify if possible: 9v/v^2-25 + v/v-5
Q11. Solve: 15x^4 - 13x^2 + 2 = 0
Q12. Subtract. Simplify by collecting like radical terms if possible.
5sq rt 32 - 2sq rt 2
Q13. Solve: 2x^2 = 10; find the x-intercept of f(x) = 2x^2 = 10
Q14. Subtract polynomials: (-8w^2 + 4w + 2) - (8w^2 + 2)
Q15. Multiply: (5x + 6)*(3x^2 + 3x +1)
Q16. Add:
(4s^4 - 3s^3 + 4s^2 + 12s -10) + (s^5 + 9s^3 +3s^2 - 4s + 6) + (-7s^4 + s^2 - 4s - 8)
Q17. Use rational exponents to write x^1/7 * y^1/5 * z^1/2 as a single radical expression.
Q18. Rewrite the following expression with positive exponents: (45xy)^-5/8
Q19. Solve: b2 - 4b - 32 = 0
Q20. Divide and simplify: z^5/z^19
Q21. Use rational exponents to simplify: ^3sq rt x^15
Q22. Solve: 8/v = 9/v - 1/5
Q23. Multiply and simplify: 25y^2/4y^2 - 8y + 4 * 4y-4/5y
Q24. Multiply and simplify. Assume variables represent nonzero real numbers.
x^15 * X^0
Q25. Factor completely: 81b^2 + 16 + 72b
Q26. Find the greatest common factor for the group of terms.
-66a^2, 11a^5
Q27. Use the quadratic formula to solve the equation: 2x^2 - 5x = -10
Q28. Solve: x^2 + 14x + 4 = 0
Q29. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x). Graph the function.
f(x) = ½ (x+9)^2 + 4
Q30. Find the x-intercept for the graph of the equation: y = x^2 + 4x - 5
Provide complete and step by step solution for the question and show calculations and use formulas.