Modeling Polynomial Functions Review

Determine the quotient of (x³ - 3x² - 10x + 24) ÷ (x + 3)

• x² - 7x + 5

• x - 8

• x² - 6x + 8

• x + 9

• (x - 2) IS NOT a factor of x² - 3x + 5 since the remainder is 3.

• (x - 2) IS a factor of x² - 3x + 5 since the remainder is 3.

When (9x⁴ - 45x³ + 37x² + x +2) is divided by (x - 2), find the remainder.

Which of the following are factors of this polynomial:

x⁵ + 2x⁴ - 15x³ - 20x² + 44x + 48

Make sure you select all that are factors.

• (x-1)

• (x+1)

• (x+2)

• (x+3)

• (x+4)

What is the value of k in (3x³ + 4x² + kx - 4) ÷ (x - 2) if the remainder is 46?

When you divide (2x³ + ax² + bx - 7) by (x - 2), the remainder is 29. When you divide the polynomial is divided by (x + 3), the remainder is -46. What are the values of a and b in the polynomial?

• a = 4 and b = -2

• a = -1 and b = 4

• a = 3 and b = 4

• Huh?

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

A polynomial function has zeros at 5 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 3). Write a function rule that could represent this function.

What is the polynomial in factored form of this graph?

• (x+3)(x+2)²(x-1)³

• (x-3)(x-2)²(x+1)³

• (x+3)(x+2)³(x-1)²

• (x+3)²(x+2)³(x-1)