Use the remainder theorem to determine if the given number c is a zero of the polynomial.

q(x)=2x³-3x²-20x+30

1. c=-2

2. c=10

Use the factor theorem to determine if the given binomial is a factor of

f(x)=x⁴+7x³+9x²+6x+16

1. x-4

2. x+2

Given f(x)=3x³+4x²9x-10, answer the following

1.Factor f(x), given that 1

is a zero.

2.Solve f(x)=0, simplest form

Given f(x)=12x³+25x²-31x+6, answer the following.

1. Factor

f(x), given that (1/4) is a zero

2.solve f(x)=0 in simplest form

Write a polynomial f(x) that meets the given conditions. Answers may vary.

Degree 2 polynomial with zeros of314 and314

Write a polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial with zeros of -5, 3i and -3i