Factoring and Polynomial Unit Review

Which of the following is a quartic trinomial?

• a

• b

• c

• d

Which of the following is a quintic polynomial with 4 terms?

• e

• f

• g

• h

This technique for dividing polynomials is called?

• The Long Division Algorithm

• Factor Theorem

• Synthetic Division

• Remainder Theroem

Choose the answer that best describes the leading coefficient and the degree of the polynomial graph.

• Positive/Even

• Negative/Even

• Positive/Odd

• Negative/Odd

Choose the answer that best describes the end behavior of the polynomial graph.

• x→+∞,f(x)→+∞
  x→-∞,f(x)→+∞

• x→+∞,f(x)→+∞
  x→-∞,f(x)→-∞

• x→+∞,f(x)→-∞
  x→-∞,f(x)→-∞

• x→+∞,f(x)→-∞
  x→-∞,f(x)→+∞

Choose the answer that best describes the end behavior of the polynomial graph.

• x→+∞,f(x)→+∞
  x→-∞,f(x)→+∞

• x→+∞,f(x)→+∞
  x→-∞,f(x)→-∞

• x→+∞,f(x)→-∞
  x→-∞,f(x)→-∞

• x→+∞,f(x)→-∞
  x→-∞,f(x)→+∞

Choose the answer that best describes the zeros, turning points, and degree.

• 4 zeros, 3 turning points, 4th degree

• 0 zeros, 2 turning points, 3rd degree

• 0 zeros, 3 turning points, 4th degree

• 0 zeros, 4 turning points, 2nd degree

Which of the following is the Quotient?

• x - 2

• 2x⁴ - 1x³ - 7x² - 3x + 10

• 0

• 2x³ +  3x² - 1x - 5

Which of the following is the Divisor?

• x - 2

• 2x⁴ - 1x³ - 7x² - 3x + 10

• 0

• 2x³ +  3x² - 1x - 5

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)