1. Find a polynomialP(x) with real coefficients having a degree4, leading coefficient 3, and zeros 4i and 3i.
2. Use thezero, 6+i, to writeP(x) as a product of linear and irreducible quadratic factors. P(x)=x⁵ -11x⁴+23x³+61x²-74x
3. Find all of the real and imaginary zeros forg(x). g(x)=x³+10x²+27x+42
4. Find all of the real and imaginary zeros for the polynomial function. y=16x³-97x²+406x-25
5. Find all zeros of the following polynomial function. P(x)=2x⁴-11x³+68x²-79x-58
6. Find all zeros of the following polynomial function. P(x)=x⁴+4x³+4x²+4x+3=0
7. Find all zeros of the polynomial function given below. P(x)=5x⁵-41x⁴+103x³-179x²+332x-60
8. Use the given zero and synthetic division to determine all of the zeros ofP(x). Then factor the depressed equation to writeP(x) as a product of the linear factors. P(x)=x²+(2i-5)x-10i, x=-2i
9. Find the polynomialf(x) of degree 3 with real coefficients that has ay-intercept of 60 and zeros 3 and 1+3i. Then write the end behavior of the graph of y=f(x).

Find an equation with real coefficients of a polynomial function f that has the given characteristics. Then write the end behavior of the graph of y=f(x).

1. Degree: 4; zeros: 1, 1, 2+i; y-intercept: 20