The Remainder Theorem - Kuta Software LLC

1 E x2g0w1w2V YKLuatWaH cSooYfDtKwdaRr5e7 x fAzlblm YrUiTgvhdtwsR D PMPaxd2eo Bw6iKtFhY EIZnXfoiOnsintweT jA1lVgHeUbvrVaX by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____The Remainder TheoremEvaluate each function at the given ) f( x) = x3 + 6 x 7 at x = 22) f( x) = x3 + x2 5 x 6 at x = 23) f( a) = a3 + 3 a2 + 2 a + 8 at a = 34) f( a) = a3 + 5 a2 + 10 a + 12 at a = 25) f( a) = a4 + 3 a3 17 a2 + 2 a 7 at a = 36) f( x) = x5 47 x3 16 x2 + 8 x + 52 at x = 7 State if the given binomial is a factor of the given ) ( k3 k2 k 2) ( k 2)8) ( b4 8 b3 b2 + 62 b 34) ( b 7)9) ( n4 + 9 n3 + 14 n2 + 50 n + 9) ( n + 8)10) ( p4 + 6 p3 + 11 p2 + 29 p 13) ( p + 5)11) ( p4 8 p3 + 10 p2 + 2 p + 4) ( p 2)12) ( n5 25 n3 7 n2 37 n 18) ( n + 5)13) ( x5 + 6 x4 3 x2 22 x 29) ( x + 6)14) ( n4 + 10 n3 + 21 n2 + 6 n 8) ( n + 2)-1- 0 t2q0C122Z sKFuytaaH gSKoHfAttwgaxrJe5 F ZAjlhlI krFiAgghFtsso F HMCaEdheb ow2ijtDhY 1 IinFfNi3nniOtseP eAAl8gKegbhrDa8 by Kuta Software ) ( p4 + 5 p3 11 p2 25 p + 29) ( p + 6)16) ( 8 k3 66 k2 + 14 k + 8) ( k 8)17) ( x4 + 11 x3 + 33 x2 + 24 x + 32) ( x + 6)18) ( 6 v3 + 42 v2 50 v 20) ( v + 8)19) ( 6 b4 + 53 b3 + 32 b2 61 b + 19) ( b + 8)20) ( 4 n3 9 n2 + 9 n + 3) ( n 1)21) ( 6 a3 + 20 a2 15 a + 9) ( a + 4)22)

2 ( n4 6 n3 10 n2 + 20 n + 15) ( n + 2)23) ( p5 + 8 p4 + 2 p2 + 19 p + 16) ( p + 8)24) ( x4 2 x3 16 x2 + 28 x + 9) ( x 4)25) ( r5 + 6 r4 13 r3 5 r2 8 r + 14) ( r 2)26) ( 8 v5 + 32 v4 + 5 v + 20) ( v + 4)-2- 2 R2w081s2K QKduutkat TSQoCfytRwWaKr4eu G eAnlalG crUimglhFtts7 Z pMcaLdHeu YwviAtFhh yIcnQfhiqnzi7t9e1 uAHltgpeEbOrJag by Kuta Software LLCKuta Software - Infinite Algebra 2 Name_____ Period____Date_____The Remainder TheoremEvaluate each function at the given ) f( x) = x3 + 6 x 7 at x = 2 32) f( x) = x3 + x2 5 x 6 at x = 2 43) f( a) = a3 + 3 a2 + 2 a + 8 at a = 324) f( a) = a3 + 5 a2 + 10 a + 12 at a = 245) f( a) = a4 + 3 a3 17 a2 + 2 a 7 at a = 386) f( x) = x5 47 x3 16 x2 + 8 x + 52 at x = 710 State if the given binomial is a factor of the given ) ( k3 k2 k 2) ( k 2)Yes8) ( b4 8 b3 b2 + 62 b 34) ( b 7)No9) ( n4 + 9 n3 + 14 n2 + 50 n + 9) ( n + 8)No10) ( p4 + 6 p3 + 11 p2 + 29 p 13) ( p + 5)No11) ( p4 8 p3 + 10 p2 + 2 p + 4) ( p 2)Yes12) ( n5 25 n3 7 n2 37 n 18) ( n + 5)No13) ( x5 + 6 x4 3 x2 22 x 29) ( x + 6)No14) ( n4 + 10 n3 + 21 n2 + 6 n 8) ( n + 2)Yes-1- i r2f0r1m2p eK1uDtkaA zSSoRf6t3wQaEryea 1 6A8lWlQ WrEiPgbh8twsi 4 zMuaidEeH BwpiCtehv 6 IInPfXiSnKiGtWeG QA2lngBeWb8r6al by Kuta Software ) ( p4 + 5 p3 11 p2 25 p + 29)

3 ( p + 6) p3 p2 5 p + 5, R 116) ( 8 k3 66 k2 + 14 k + 8) ( k 8) 8 k2 2 k 2, R 817) ( x4 + 11 x3 + 33 x2 + 24 x + 32) ( x + 6) x3 + 5 x2 + 3 x + 6, R 418) ( 6 v3 + 42 v2 50 v 20) ( v + 8) 6 v2 6 v 2, R 419) ( 6 b4 + 53 b3 + 32 b2 61 b + 19) ( b + 8) 6 b3 + 5 b2 8 b + 3, R 520) ( 4 n3 9 n2 + 9 n + 3) ( n 1) 4 n2 5 n + 4, R 721) ( 6 a3 + 20 a2 15 a + 9) ( a + 4) 6 a2 4 a + 1, R 522) ( n4 6 n3 10 n2 + 20 n + 15) ( n + 2) n3 8 n2 + 6 n + 8, R 123) ( p5 + 8 p4 + 2 p2 + 19 p + 16) ( p + 8) p4 + 2 p + 3, R 824) ( x4 2 x3 16 x2 + 28 x + 9) ( x 4) x3 + 2 x2 8 x 4, R 725) ( r5 + 6 r4 13 r3 5 r2 8 r + 14) ( r 2) r4 + 8 r3 + 3 r2 + r 6, R 226) ( 8 v5 + 32 v4 + 5 v + 20) ( v + 4) 8 v4 + 5-2-Create your own worksheets like this one with Infinite Algebra 2.

4 Free trial available at