Polynomials

• constant

  degree 0; ex. 5
• linear


  degree 1; x +4
• quadratic


  degree 2; 4x squared
• cubic


  degree 3 (highest exponent 3)
• quartic


  degree 4 (highest exponent 4)
• quintic


  degree 5 (highest exponent 5)
• monomial


  1 term; ex. 5
• binomial


  2 terms; ex x + 4
• trinomial


  3 terms; 4x + 3 + y
• polynomial


  4 terms; -x + 4x + 2x + 1
• (2x + 3y) + (4x + 9y)

  6x + 12y
• (6x + 5y) + (4x + 8y)

  10x + 13y
• (x² - x) + (2x + x²)


  2x² + x
• (x² - 3x) - (2x² + 5x)

  -x² - 8x
• (x² - x + 5) - (2x + 5)

  x² - 3x
• (2x² - 5x) + (7x - 3x²)

  -x² + 2x
• (6x² + 2x + 9) + (4x² - 5x)

  10x² - 3x + 9
• Write the polynomial in standard form:

  8x² - 15 + 5x⁵

  5x⁵ + 8x² - 15
• Write the polynomial in standard form:

  25 - x³ + x


  -x³ + x + 25
• (4y + 5) + (-7y - 1)

  -3y + 4
• (4x² + 8x + 2) - (2x + 3)


  4x² + 6x - 1
• (2x² + 6x) + (x² - 5x + 7)


  3x² + x + 7
• (5x² + 6x + 2) - (7x² - 7x + 5)

  -2x² + 13x - 3
• (6x² - x + 1) - (-4 + 2x² + 8x)

  4x² - 9x + 5
• (x² - 4x - 1) + (-5 + 5x² - 3x)

  6x² - 7x - 6
• (3x²y³ + xy) + (4x²y³ + 5xy)

  7x²y³ + 6xy
• 2x(-7x² - 4x)


  -14x³ - 8x²
• 6xy(3x² + 4y)


  18x³y + 24xy²
• 2x(x - 4)


  2x² - 8x
• -x(11x + 4)


  -11x² - 4x
• -3x(x² + 2x)


  -3x³ - 6x²
• -4x(1 - 9x - 2x²)


  -4x + 36x² + 8x³
• -3n²(-2n² + 3n + 4)


  6n⁴ - 9n³ - 12n²
• Simplify x(3x + 2) + 5x

  3x² + 7x
• -x(2x - 8) - 5x


  -2x² + 3x
• x²(-4x + 5) - 6x²


  -4x³ - x²
• 4x(-5x - 3) - 2(x² - 7x - 4)

  -22x² + 2x + 8
• 3x(3x + 6) - 3(x² + 4x + 1)


  6x² + 6x - 3
• -2(3x³ + 5x + 6) + 3x(2x² + 3x + 1)


  9x² - 7x - 12
• -3x(7x - 2) + 3(x² + 2x + 1) - 3x(-5x + 3)

  -3x² + 3x + 3