Page 19 - iMath K to 12 Curriculum Series]

CONCEPT REVIEW

Complete this table.

Common
Polynomial Remaining Factor Factored Form
Monomial Factor
3
2x + 4y 2
2 3
8x y + 64xy
-26xy - 13y
3
5
24y + 12y - 3y
Factor the following polynomials using factoring by grouping.

C 1. 7r + 7r - r - 1 4. 6xy + 3x y - 6 - 3x C
2
3
2
H H
A 2. a - ay - 4a + 4y 5. 4x - x + 4x - 1 A
2
3
2
P P
T 3. 3ab - bc + 3ad - cd T
E E
R R
1 KEYNOTES 1

2 To get the greatest common factor: 2

3 1. Write the number in prime factored form. 3

4 2. List each different prime factor that is in every prime factorization. 4
3. Use as exponents on the prime factors the smallest exponent from the
prime factored forms. (If the prime does not appear in one of the prime
5 4. Multiply the primes in (3). 5
factored forms, it cannot appear in the greatest common factor).
6 5. Do the same for the variables. 6

7 Common factors are used in factoring by grouping. 7

8 To factor four terms by grouping: 8

9 1. Write the four terms so that the first two terms have a common factor and 9
the last two also have a common factor.
2. Use the distributive property to factor each group of two terms.
3. Factor the greatest common factor from the results in (2).

To check, multiply the factors.

6 7
iMath 8: K to 12 Curriculum Series iMath 8: K to 12 Curriculum Series