Algebra Project, math homework help

Attached are the questions that I need answerd and if you could show all work that would be great, thanks!

Simplify each expression.
1.
2.
(3b)5(80)3
(7x – 2)(x + 4)
(6×2 – 10x + 4) – (x2 + 12x – 7)
(2×3 + 9×2 – 2x + 7) + (x + 2)
3.
4.
Factor completely. If the polynomial is not factorable, write prime.
5.
6.
3xºy + x2y2 + xły
8r3 – 6456
For each function, complete each of the following.
a. Graph each function by making a table of values.
b. Determine consecutive integer values of x between which each
real zero is located.
c. Estimate the x-coordinate at which the relative maxima and
relative minima occur.
7.
8.
g(x) = x3 + 6×2 + 6x – 4
h(x) = x4 – 2×3 – 6×2 + 8x + 5
Solve each equation.
9. på + 8p2 = 18p
10. 16×4 – x2 = 0
Use synthetic substitution to find f(-2) and f(3).
11. f(x) = 3×4 – 12×8 – 12x² + 30x
12. Write the polynomial equation of degree 4 with leading coefficient 1
that has roots at -2, -1, 3, and 4.
State the possible number of positive real zeros, negative real
zeros, and imaginary zeros for each function.
13. f(x) = -x3 – x2 + 14x – 24
14. f(x) = 2×3 – x2 + 16x – 5
Find all rational zeros of each function.
15. h(x) = x4 + 2×3 – 23×2 + 2x – 24
16. f(x) = 5×3 – 29×2 + 55x – 28
Determine whether each pair of functions are inverse functions.
17. f(x) = 4x – 9, g(x) = 79
18. f(x) = x+2, g(x) = 1.2
.X
If f(x) = 2x – 4 and g(x) = x2 + 3, find each value.
19. (f – g)(x)
20. (f•g)(x)