1.                                                                                                 2

Піднесіть многочлен до степеня (x + 3у)

а)   2            2б)           2                      2 x + 6ху + 9у x +9y

в) 2 2г) 2 x + 6ху + 3уx + 6у + 3у

2.                                                                                                                                                                        2

Піднесіть многочлен до степеня (4а -1)

              а)                                                            2 б)                                                            2

16 а + 8 а + 1 16 а - 8 а + 1

              в)                                                             2г)                                                             2

16 а + 8 а 16 а  + 1

3.                                                                                                                                                                        2

Запишіть вираз у вигляді многочлена (а + 3) (а - 3а + 9) а)               3б)           3

а  - 27 а + 27

              в)                                                         2 г)                                                         3

а - 27а а - 3а + 27

4.                                                                                                                                                                        2                 ₂

Запишіть вираз у вигляді многочлена(4x - 3y ) (4x + 3у )

              а)        2                                                                                  4б)                                                       2               4

4x - 3у16x - 3у

              в)           2                                                                                 4г)                                                   2                   4

16x - 9у 4x + 3у

5.            Піднесіть до квадрату різниць чисел р і 5

а) 2б) (р - 5)(р +5) р - 25

в) р - 5г) 2 р - 10р + 25

6.         4      ₄

х у - 25 - це

              а)       2       2                                                                              2б)                                                  2       2                     2       2

(х у - 5)(х у - 5)(х у + 5)

              в)       2                                                                                2г)                                                       4       4                         4       4

(х у - 25)(х у - 25)(х у + 25)

7.                                   ^{2                                   2}

 Тричлен   m – 2mn + n  можна розкласти на множники так:

                                                     а) (m + n)(m – n )б)                                                           2

(m – n )

              в)                                                                 2г)                                                                    2

(m + n )(2m + n )

8.                          3            ₃

 Вираз  p – q тотожно дорівнює виразу:

                                                      а) (p + q)(p – q )б)                                                                2                                 ₂

(p – q )(p + pq + q )

              в)                       2                                                                               2г)                                                        2                              2

(p +q )(p - pq + q )(p – q )(p - pq + q )

9.

Подати вираз (а² - р)(а² + р) у вигляді многочлена

              а)     2                                                                                              2б)                                             2           2

а - 2ра + ра - р

в)   4             2г)            4                      2 а - ра + р

10.                                                                                        3

Розкласти на множники многочлен а - 125

              а)                                                                 2б)                                                  3           3

(а - 5)( а - 25а +5)(а - 5 )

              в)                                                          2 г)                                                                       2

(а +5)(а - 5а +25)(а - 5)(а + 5а+ 25)

11. Які з виразів є тотожно рівними?

              а)                2                                                                                  2б)                                                                              2              2

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

              в)                2           2                                                                      2г)                                                      2             2           2

(а +в) і а + в( а - в) і (а - в )

12.                         2

 Вираз   x – 16  можна подати у вигляді добутку так:

а) (х - 4)(х + 4)б) (х - 16)(х+16)

              в)                                                         2г)                                                         2

х - 2х +16х + 2х +4

13.                                                                                                                    2

Подайте у вигляді многочлена вираз (х - 1)(х + х +1)

              а)                                                              2б)                                                               2

(х - 1)(х +1)

в) 3г) (х - 1)(х +1)

х - 1

14.                                                                                                 2           ₂

Знайти числове значення виразу (1 - 1, 5) ⋅ 2

      а) 0, 5                                                                                             б) 0,25

      в) 1                                                                                                  г) -1

15.                                                                                          2

Чому дорівнює різниця многочленів (х +2х - 3) - (2х - 7)

              а)                                                         2б)                                                         2

х +4х - 4

              в)                                                         2г)                                                         2

х - 4хх + 4х + 4

Ключ до тесту

1. а (1 балів)                                  2. б (1 балів)                                3. б (1 балів)                                4. в (1 балів)

5. г (1 балів)                                  6. б (1 балів)                                7. б (1 балів)                                8. б (5 балів)

9. в (1 балів)                                  10. г (1 балів)                              11. б (1 балів)                              12. а (1 балів)

13. в (1 балів)                                14. в (1 балів)                              15. а (1 балів)