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Year 9 Maths — Polynomials

Find the degree of a polynomial, evaluate it at a value and recognise its zeroes.

Name: ________________________

  1. 1.If p(x) = x² - 5x + 6, what is p(3)?

  2. 2.If p(x) = x² - 3x + 2, what is p(2)?

  3. 3.What is the degree of the polynomial 5x + 1?

  4. 4.If p(x) = 2x + 6, what value of x makes p(x) = 0?

  5. 5.Sort each polynomial by its degree.

    Groups: Linear · Quadratic

    • x
    • 5 - x
    • x² + 1
    • 9x² + 4
    • 3x + 2
    • 2x² - 7x

  6. 6.If p(x) = x³ - 2x² + x, what is p(1)?

  7. 7.A polynomial of degree 2 is called a...

    • a) constant polynomial
    • b) cubic polynomial
    • c) linear polynomial
    • d) quadratic polynomial

  8. 8.Which of these is a zero of p(x) = x² - 9?

    • a) 3
    • b) -9
    • c) 9
    • d) 0

Answer key — Year 9 Maths — Polynomials

  1. 1. 0
  2. 2. 0
  3. 3. 1
  4. 4. -3
  5. 5. 3x + 2 → Linear; 5 - x → Linear; x → Linear; x² + 1 → Quadratic; 2x² - 7x → Quadratic; 9x² + 4 → Quadratic
  6. 6. 0
  7. 7. d) quadratic polynomial
  8. 8. a) 3