Multiple choice

Which of the following expressions is a quadratic polynomial?

  1. 7x4 - 7x3 - 7x4 + 5

  2. 14x3 - 12x + 8x2 + 2

  3. 7x2 - 14x3 + 2x + 3

  4. x2 - 3x3 + 2x + 3x3
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A quadratic polynomial must have a degree of 2. Option D: x^2 - 3x^3 + 2x + 3x^3 = x^2 + 2x. This simplifies to a quadratic polynomial.

AI explanation

A quadratic polynomial must have a highest degree of exactly two. In expression D, combining the cubic terms gives x squared plus two x, since negative three x cubed plus three x cubed equals zero. The resulting expression is x squared plus two x, which has a degree of two. Therefore, this expression is a quadratic polynomial.

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