Polynomial Knowledge Quiz

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Questions and Answers

What is the degree of the polynomial $p(x) = 3x^4 - 2x^2 + 5$?

  • 5
  • 3
  • 4 (correct)
  • 2

Which of the following is a linear polynomial?

  • $g(x) = 3x^2 - 4x + 5$
  • $h(x) = 4x^3 - 2x^2 + x + 7$
  • $k(x) = 5x^4 - 3x^2 + 2$
  • $f(x) = 2x + 3$ (correct)

What is the sum of the degrees of the polynomials $m(x) = 2x^3 - 5x^2 + 4x - 1$ and $n(x) = 3x^2 - x + 2$?

  • 8
  • 5
  • 6
  • 7 (correct)

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Study Notes

Polynomials

  • The degree of a polynomial is the highest power of the variable (usually x) in the polynomial.
  • The degree of the polynomial p(x) = 3x^4 - 2x^2 + 5 is 4.
  • A linear polynomial is a polynomial of degree 1.
  • Example of a linear polynomial: none of the options provided (2x^3 - 5x^2 + 4x - 1, 3x^2 - x + 2, and 3x^4 - 2x^2 + 5).
  • The degree of the polynomial m(x) = 2x^3 - 5x^2 + 4x - 1 is 3.
  • The degree of the polynomial n(x) = 3x^2 - x + 2 is 2.
  • The sum of the degrees of the polynomials m(x) and n(x) is 3 + 2 = 5.

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