Assignment:
Q1. Add
(2v^4-4v^3+2v^2+10v-6)+ (v^5+9v^3+5v^2-2v+4) + (-5v^4+v^2-6v-10)
Q2. Find the vertex, the line of symmetry, the maximum or minimum value of the quadric function, and graph the function.
f(x)=1/2(x+5)^2+8
-The vertex is____
-The line of symmetry is x=____
-What is the maximum/ minimum value of f(x)?___
-Is the value, f(-5)=8, a minimum or a maximum?___
-Graph
Q3. Multiple and simplify by factoring. Assume that all expressions under radical represent nonnegative number.
3sqrt(y^10) 3sqrt (81y^11) =
Q4. Simplify
5sqrt(-1/3125)=
Q5. Simplify by removing factors of 1
4n^2+4n
28n^2+16n
The simplify form is_____
Q6. Rationalize the denominator
Sqrt(r)-sqrt(s)
Sqrt(r)+sqrt(s)
Q7. Solve
Sqrt(5x+21)=x+3
Q8. Subtract simply by collecting like radical terms
8*sqrt(45)-8*sqrt(5)=
Q9. Simplify by taking roots of the numerator and the denominator.
3sqrt(125x^11/y^3)=
Q10. Use the quadratic formula to solve the equation
x^2-x=-9
The solution set is { }
Q11. Divide
(20b^3+17b^2+26b+50)/(4b/5)
a. 5b^2-2b-9-5/4b+5
b. 5b+9
c. 5b^2+2b+9
d. 5b^2-2b+9+5/4b+5
Q12. Find the following
Sqrt(a+8)^2
Q13. Multiply & Simplify
49z^2/2z^2-12z+18*2z-6/7z=
Q14. Simplify by removing factors of 1
(This one I think I have the answer for but I get confused at the end)
q^2-4
(q+2)^2=
(q+2)(q-2)
(q+2)(q+2)=
q+2
(Is this correct?)= q+2
Q15. Simplify by factor
Sqrt(80a^2 b=
Q16. Divide and simplify
5v-10 / v-2
14 4v
Q17. Multiply
(3*sqrt(3)-6sqrt(5)(4*sqrt(3)+8*sqrt(5)=
Q18. Use rational exponents to simplify
3sqrt(x^15)=x^___
Q19. Find the following
20sqrt(-3)^20
Q20. For the following equation, sate the value of the discriminant & then describe the nature of the solutions.
12x^2++2x-9=0
-What is the value of the discriminant? ____
-Which one of the statements below is correct?
a. the equation has two imaginary solutions
b. the equation has two real solutions
c. the equation has one real solution
Provide complete and step by step solution for the question and show calculations and use formulas.