1-Use the Rational Zero Theorem to find all possible rational zeros for the polynomial function. f(x)=x^3+4x^2+x+21

2-Use the Factor Theorem to find the real zero(s) for the given polynomial function and one factor. Answer exactly. f(x)=2x^3+3x^24x6; 2x+3 x=

3-Construct a polynomial function with real coefficients and of least degree possible using the given information. Real zeros: 1,3,4 and contains the point (2,5). f(x)=

4-Construct a polynomial function with real coefficients and of least degree possible using the given information. Real zeros: 2,4 (with multiplicity 2 and 1) and (1,f(1))=(1,1). f(x)=

5- Find the dimensions of the box described. The length is twice as long as the width. The height is 4 inches greater than the width. The volume is 256 cubic inches. Length: Width: Height

6-Find the dimensions of the right circular cylinder described. The radius is 3 inches more than the height. The volume is 108 cubic inches. Radius: Height: