3.08 Quiz: Common Factors of Polynomials

Which expressions are completely factored?Select each correct answer. Responses 24a4+18=6(4a4+3) 24 a begin power 4 end power plus 18 equals 6 left parenthesis 4 a begin power 4 end power plus 3 right parenthesis 30a6−24a2=3a2(10a4−8) 30 a begin power 6 end power minus 24 a squared equals 3 a squared left parenthesis 10 a begin power 4 end power minus 8 right parenthesis 16a5−20a3=4a3(4a2−5) 16 a begin power 5 end power minus 20 a cubed equals 4 a cubed left parenthesis 4 a squared minus 5 right parenthesis 12a3+8a=4(3a3+2a)

24a4+18=6(4a4+3) 16a5−20a3=4a3(4a2−5)

What is the greatest common factor of 8xy5−16x2y3+20x4y4? Responses 8xy5 8 x y begin power 5 end power 2xy3 2 x y cubed 4x4y5 4 x begin power 4 end power y begin power 5 end power 4xy3

4xy3

Factor.10x5+5x2−15 Responses 10(x5+5x2−15) 10 left parenthesis x begin power 5 end power plus 5 x squared minus 15 right parenthesis 5(2x5+x2−3) 5 left parenthesis 2 x begin power 5 end power plus x squared minus 3 right parenthesis 5(2x5+5x2−15) 5 left parenthesis 2 x begin power 5 end power plus 5 x squared minus 15 right parenthesis 5x2(2x3+x−3)

5(2x5+x2−3)

What is the greatest common factor of 24y8+6y6? Responses 6y8 6 y begin power 8 end power 24y8 24 y begin power 8 end power 6y6 6 y begin power 6 end power 3y2

6y6

Which statements are true?Select each correct answer. Responses 4g2−g=g2(4−g) 4 g squared minus g equals g squared left parenthesis 4 minus g right parenthesis 24g4+18g2=6g2(4g2+3g) 24 g begin power 4 end power plus 18 g squared equals 6 g squared left parenthesis 4 g squared plus 3 g right parenthesis 9g3+12=3(3g3+4) 9 g cubed plus 12 equals 3 left parenthesis 3 g cubed plus 4 right parenthesis 35g5−25g2=5g2(7g3−5)

9g3+12=3(3g3+4) 9 g cubed plus 12 equals 3 left parenthesis 3 g cubed plus 4 right parenthesis 35g5−25g2=5g2(7g3−5)