1. Write an equation of a polynomial function with the given characteristics.
Crosses the
x-axis at -4, 0, and 3; lies above the x-axis between -4 and 0; lies below the
x-axis
between 0 and 3.
2. Write an equation of a polynomial function with the given characteristics.
Touches the
x-axis at 0 and crosses the x-axis at 3; lies below the x-axis between 0 and 3.
3. Find k so that 4x + 3 is a factor of 20x3 + 23x2 − 10x + k.
4. When 2x2−7x+9 is divided by a polynomial, the quotient is 2x−3 and the
remainder
is 3. Find the polynomial .
5. Find the quotient of x3n + 1 and xn + 1.
6. Synthetic division is a process for dividing a polynomial by x − c. The
coefficient of x
is 1. How might synthetic division be used if you are dividing by 2x − 4?
