LESSON 1: FACTORING
POLYNOMIALS WITH
COMMON MONOMIAL
FACTOR
KEVIN KERTZ F. PENAFLOR
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
What is factoring?
•It is finding what to multiply
together to get an expression.
•It is “splitting” an expression
into a multiplication of simpler
expressions.
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
8
2 4
Ex. 1 Factor 𝑥𝑦 + 𝑥𝑧
Get the CMF: 𝑥
Divide 𝑥𝑦 + 𝑥𝑧 by 𝑥
Quotient: 𝑦 + 𝑧
Thus 𝑥𝑦 + 𝑥𝑧 = 𝑥(𝑦 + 𝑧)
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
Ex. 2 Factor 5𝑛2
+ 15𝑛
Get the CMF: 5𝑛
Divide 5𝑛2
+ 15𝑛 by 5𝑛
Quotient: 𝑛 + 3
Thus 5𝑛2
+ 15𝑛 = 5𝑛(𝑛 + 3)
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
Ex. 3 Factor 27𝑦2
+ 9𝑦 − 18
CMF: 9
Quotient: 3𝑦2
+ 𝑦 − 2
Factors: 9(3𝑦2
+ 𝑦 − 2)
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
•What is a common monomial
factor?
•What is the first thing to do to
factor polynomial?
•How will you obtained the
common monomial factor?
•How will you factor polynomial?
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
Challenge Yourself!
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
Thank You! 
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
GRADE 8 MATH: FIRST QUARTER
FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
A man pours cement on the
floor of his garage The garage
floor has an area of 15 square
meters. The dimensions are
prime numbers. Can you
determine the length and
width of the garage?
𝑤
𝑙
𝐴 = 𝑙𝑤

LESSON 1_FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR.pptx

  • 2.
    LESSON 1: FACTORING POLYNOMIALSWITH COMMON MONOMIAL FACTOR KEVIN KERTZ F. PENAFLOR GRADE 8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 3.
    What is factoring? •Itis finding what to multiply together to get an expression. •It is “splitting” an expression into a multiplication of simpler expressions. GRADE 8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 4.
    GRADE 8 MATH:FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR 8 2 4
  • 5.
    Ex. 1 Factor𝑥𝑦 + 𝑥𝑧 Get the CMF: 𝑥 Divide 𝑥𝑦 + 𝑥𝑧 by 𝑥 Quotient: 𝑦 + 𝑧 Thus 𝑥𝑦 + 𝑥𝑧 = 𝑥(𝑦 + 𝑧) GRADE 8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 6.
    Ex. 2 Factor5𝑛2 + 15𝑛 Get the CMF: 5𝑛 Divide 5𝑛2 + 15𝑛 by 5𝑛 Quotient: 𝑛 + 3 Thus 5𝑛2 + 15𝑛 = 5𝑛(𝑛 + 3) GRADE 8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 7.
    Ex. 3 Factor27𝑦2 + 9𝑦 − 18 CMF: 9 Quotient: 3𝑦2 + 𝑦 − 2 Factors: 9(3𝑦2 + 𝑦 − 2) GRADE 8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 8.
    •What is acommon monomial factor? •What is the first thing to do to factor polynomial? •How will you obtained the common monomial factor? •How will you factor polynomial? GRADE 8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 9.
    Challenge Yourself! GRADE 8MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 10.
    Thank You!  GRADE8 MATH: FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 11.
    GRADE 8 MATH:FIRST QUARTER FACTORING POLYNOMIALS WITH COMMON MONOMIAL FACTOR
  • 12.
    A man pourscement on the floor of his garage The garage floor has an area of 15 square meters. The dimensions are prime numbers. Can you determine the length and width of the garage? 𝑤 𝑙 𝐴 = 𝑙𝑤