ICE 8

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?

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