10. Given the polynomial function f(x) = 5x(x² - 4)²(x+3)³ (a) (6 points) Find the zeros of f(x). SHOW ALL WORK! (b) (6 points) Determine the multiplicity of each zero, and if they cross or touch the x-axis at the zeros for f(x). SHOW ALL WORK!

Consider the following higher degree polynomial function f(x) = -2x² (5-2x) (x² + 1). a) What is the degree of this function? b) How many zeros does this function have? c) State the coordinates of the y-intercept.

Identify the following for the polynomial function: i) ii) iii) iv) g(x)=x (3x+4) (-2x+1)(x-5) the degree the value of the leading coefficient a zero which is negative the end behaviour

The function, f(x) =x³ + x² – 13x + 3 has an x-intercept at x = 3. Use polynomial division to factor this polynomial and determine the other roots if they exist. Show your work! Leave answer(s) in exact form.