Practice Polynomials And Their Properties (2.3.1) - Algebra

Practise this section

10 questions

Flashcard drill
5 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
4 questions · about 3 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
What is a polynomial?
Show hintHide hint
Think about its structure and components.
Question 2.
Identify the degree of the polynomial 3x^2 + 5x - 7.
Show hintHide hint
Look for the highest power of x.
3Question 3.
What is the degree of the polynomial 5x^4 + 3x^2?
- 2
- 3
- 4
Show hintHide hint
Look for the highest power term.
4Question 4.
True or False: The remainder of dividing a polynomial by x - c is always c.
- True
- False
Show hintHide hint
Recall the definition of the Remainder Theorem.
Question 5.
Given P(x) = 2x^4 + 3x^3 - x - 6, find the zeros by trying rational roots.
Show hintHide hint
Use the Rational Root Theorem to identify possible candidates.
Question 6.
Factor the polynomial P(x) = x^3 - 6x^2 + 11x - 6 completely.
Show hintHide hint
Look for possible rational roots and apply synthetic division.

6 more questions in this section. Enroll free to practise them all.