Polynomials

• What is a term in a polynomial defined as?

  Part separated by addition
• What are the components of a term in a polynomial?

  Coefficient and variable part
• Match the number of terms with the polynomial type:

  Monomial ↔️ One term

  Binomial ↔️ Two terms

  Trinomial ↔️ Three terms
• What is the degree of a cubic polynomial?

  3
• What is the sum of (3x² + 5x - 7) + (2x² - 4x + 3)?

  5x² + x - 4
• What is the first step in adding polynomials?

  Identify like terms
• What is the product of (2x + 3) and (x - 4)?

  2x² - 5x - 12
• What is the quotient when 2x^{2} - 5x - 3</latex> is divided by $x - 3$?


  2x + 1
• Steps for polynomial long division:

  1️⃣ Arrange dividend and divisor

  2️⃣ Divide the first terms

  3️⃣ Multiply the divisor by the quotient term

  4️⃣ Subtract the result

  5️⃣ Bring down the next term

  6️⃣ Repeat until no more terms can be brought down
• What is the greatest common factor (GCF) of $6x^{2} +$$12x$?


  6x
• How does $x^{2} +$$5x +$$6$ factor?


  (x + 3)(x + 2)
• What is the quadratic formula for solving $ax^{2} +$$bx +$$c =$$0$?


  $x =$$\frac{ - b \pm \sqrt{b^{2} - 4ac}}{2a}$