Mulitplying Polynomials Answers and Explanations

FOIL Method

Instructions:  Multiply.

01
of 05

(x + 3)(x - 3)

(x + 3)(x - 3) = x2 + -9

  1. Rewrite the minus sign.
    (x + 3)(x + -3)
  2. First. Outer. Inner. Last.
    x
    * x + x * -3 + 3 * x + 3 * -3
  3. Multiply.
    x
    2 + -3x + 3x + -9
  4. Simplify.
    x
    2 + 0 + -9
    x
    2 + -9
02
of 05

(x - 6)(x + 4)

(x - 6)(x + 4) =  x2 + -2x + -24

  1. Rewrite the minus sign.
    (x + -6)(x + 4)
  2.  First. Outer. Inner. Last.
    x
    * x + x * 4 + -6 * x + -6 * 4
  3. Multiply.
    x2 + 4x + -6x + -24
  4. Simplify.
    x
    2 + -2x + -24
03
of 05

(x - 8)(x - 9)

(x - 8)(x - 9) = x2 + -17x + 72  

  1. Rewrite the minus signs.
    (x + -8)(x + -9)
  2. First. Outer. Inner. Last.
    x
    * x + x * -9 + -8 * x + -8 * -9
  3. Multiply.
    x
    2 + -9x + -8x + 72
  4. Simplify.
    x
    2 + -17x + 72
04
of 05

(5j + 11)(j + 1)

(5j + 11)(j + 1)=  5j2 + 16j + 11  

  1. First. Outer. Inner. Last.
    5j * j + 5j * 1+ 11 * j + 11 * 1
  2. Multiply.
    5j2 + 5j + 11j + 11
  3. Simplify.
    5j2 + 16j + 11
05
of 05

(5p - 7)(4p + 3)

(5p - 7)(4p + 3)= 20p2 + -13p + -21

  1. Rewrite the minus sign.
    (5p + -7)(4p + 3)
  2. First. Outer. Inner. Last.
    5p * 4p + 5p * 3 + -7 * 4p + -7 * 3
  3. Multiply.
    20p2 + 15p + -28p + -21
  4. Simplify.
    20p2 + -13p + -21
Format
mla apa chicago
Your Citation
Ledwith, Jennifer. "Mulitplying Polynomials Answers and Explanations." ThoughtCo, Feb. 29, 2016, thoughtco.com/mulitplying-polynomials-answers-and-explanations-2312010. Ledwith, Jennifer. (2016, February 29). Mulitplying Polynomials Answers and Explanations. Retrieved from https://www.thoughtco.com/mulitplying-polynomials-answers-and-explanations-2312010 Ledwith, Jennifer. "Mulitplying Polynomials Answers and Explanations." ThoughtCo. https://www.thoughtco.com/mulitplying-polynomials-answers-and-explanations-2312010 (accessed January 22, 2018).