«На Урок»                                     ^ПІБ:

Клас:

1.                                                                       3        3

Розкладіть на множники 27х -у

              а)                           2                                                                             2б)                                                        2                                  2

(3х - у) (9х - 3ху + у )(3х - у) (9х +3ху + у )

              в)                           2                                                                               2г)                                                        2                              2

(3х - у) (3х + 3ху + у )(3х - у) (9х - 3ху - у )

2.                                                                  3                     ₃

Розкладіть на множники х + 64у

              а)                          2                                                                                   2б)                                                    2                                          2

(х + 4у) (х + 4ху + 16у )(х + 4у) (х - 8ху + 16у )

в) 2 2г) 2 2

(х + 4у) (х - 4ху + 16у )(х + 4у) (х + 8ху + 16у )

3.                                                              1            3                     3

Рjзкладіть на множники /₂₇ х + 27у

              а)    1                               1         2                                                                          2б)                             1                                 1         2                                       2

( /₃ х+3у) ( /₉х - 2ху + 9у )( /₃ х+3у) ( /₉х + ху + 9у )

              в)    1                                          2                                                                             2г)                            1                                   1         2                                      2

( /₃ х-3у) (1/₉х + 2ху + 9у )( /3 х+3у) ( /₉х - ху + 9у )

4.                                                                                                                                                                             2            ₂

Подайте у вигляді многочлена (a + 6b) (a - 6ab + 36b )

а)            3                      3б)           3                      3 a + 216ba - 216b в)       2                      2г)            3                      3

a + 36ba + 96b

5.                                                                                                                                                                             2            ₂

Подайте у вигляді многочлена (0,2a + 5b) (0,04a - ab + 25b )

              а)                  3                                                                               3б)                                                       3                           3

0.008a - 125b0.008a + 125b

              в)               3                                                                                    3г)                                                    3                        3

0.08a + 125b0.08a + 25b

6.                                                                                                                                                                             27          18

Розкладіть на множники х -у

              а)       3           6          6                   3    6                                                        12б)                                   3           6          9              3     6              36

(х - у )(х + 2х у + у )(х - у )(х + х у + у )

              в)       3           6          6           3     6                                                             12г)                                      3           6          6              3     6              12

(х - у )(х - х у + у )(х - у )(х + х у + у )

7.                                                                                                                                                                             3

Знайти найменьший корінь рівняння х - 4х =0

а) -2б) 0

в) 2г) 4

8.                                                                                                                                                                             Замість зірочки поставте такий одночлен, щоб справджувалась тотожність

(7х - 5у) (49х²+ * + 25у²) = 343х³- 125у³

а) 70хуб) 50ху

в) 98хуг) 35ху

9.                                                                                                                                                                             Замість зірочки поставте такі одночлени, щоб справджувалась тотожність

(1 - у²) (* + у² + *) = 1- у⁶

              а)                                                            2б)                                                            4

1; у1; у

                                                                 в) 1; уг)                                                              6

1; у

10.                                                                                                                                                                         2            ₁

Знайдіть значення виразу, (2m - 3) (4m + 6m +9), якщо m= /₂

а) -26б) 28

в) -9г) -27

Ключ до тесту

9. б (1 балів)                                  10. а (1 балів)