Polynomials

Topics in this chapter

• Terms, Coefficients, And Degree
• Types And Evaluation
• Polynomial Operations And Simplification
• Algebraic Identities And Expansions
• Factorisation Methods And Identities
• Zeroes, Factor Theorem, And Remainder Theorem

Cheat sheet

Practice questions

1. Question 1Q-E8D680

   Which of the following expressions is a polynomial in one variable?

   1. A.x + 2/x
   2. B.sqrt(x) + 3
   3. C.3x^2 - 2x + 5
   4. D.x^2 + y^2 + 1
   See the answer and solution
2. Question 2Q-E7334D

   What is the degree of the zero polynomial?

   1. A.0
   2. B.1
   3. C.Not defined
   4. D.Infinitely many
   See the answer and solution
3. Question 3Q-ECF5A0

   If $p(x) = 5x - 4x^2 + 3$, find the value of $p(-1).$

   1. A.-6
   2. B.2
   3. C.-2
   4. D.6
   See the answer and solution
4. Question 4Q-1263B1

   According to the Remainder Theorem, when a polynomial $p(x)$ is divided by $(x - a)$, the remainder is:

   1. A.p(0)
   2. B.p(a)
   3. C.p(-a)
   4. D.-p(a)
   See the answer and solution
5. Question 5Q-D5D6D3

   Find the zero of the polynomial $p(x) = 2x + 5.$

   1. A.5/2
   2. B.-2/5
   3. C.-5/2
   4. D.2/5
   See the answer and solution