Please help 1. What is the sum or difference?
6x^4 – 10x^4

2. Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. (2 pts.)
x + 7 – 4x^3

Simplify:

3. (-8a^5 – 9a^3 – 3a – 2) + (10a^5 + 8a + 4 + 2a^3 )

4. (2x – 9)(x^2 + 4x – 1)

5. (3x + 2y^4)^2

6. A cylinder has a radius of 4x + 1 and a height of 3x + 4. Write the polynomial in standard form for the volume of the cylinder. Use the formula: V = πr^2h. Leave answer in terms of π.

7. The area of a rectangle is given by: 5x^2 -22x + 8. What are the possible dimensions of the rectangle?
8. f(x) = 5x^5 – 13x^4 + x^3 and g(x) = 14x^4 – x^5 + 16x^3 . What is f(x) – g(x)? Show all steps and write your answer in factored form. (2 pts.)