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Can You Factor the Polynomial?

6.4.5 Can You Factor the Polynomial?

6.4.5 • Can You Factor the Polynomial?

Cool Down

1.

Which of these polynomials has a greatest common factor of 1?

  1. 10 q 2 + 14 q + 20 10 q 2 + 14 q + 20

  2. 12 x 3 − 2 x 12 x 3 − 2 x

  3. 12 x 3 y − 7 g 8 h 3 + 11 s 2 12 x 3 y − 7 g 8 h 3 + 11 s 2

  4. − 2 x − 4 − 2 x − 4

12 x 3 y − 7 g 8 h 3 + 11 s 2 12 x 3 y − 7 g 8 h 3 + 11 s 2

Determine if the expression can be factored by grouping. If it can, factor the expression. If not, answer “prime.”

2.

c d + 6 c + 4 d + 24 c d + 6 c + 4 d + 24

Compare your answer:

( d + 6 ) ( c + 4 ) ( d + 6 ) ( c + 4 )

3.

x 2 − y + 4 w − 3 x 2 − y + 4 w − 3

Compare your answer:

prime