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Álgebra                                                                     4° Secundaria

            17.  Factorizar:                                   2.   Indicar un factor primo de:
                                                                            3
                                                                                 2
                          3 2
                                 2 2
                 P (x;y)  = 24x y +60x y  – 6xy  + 6xy  + 36xy      M(x) = 2x  – 5x  – 23x -10
                                               3
                                                       2
                                         4

                 A) 6xy  (x + y + 1)(2x – y + 3)                    A) 2x + 5     B) 2x + 1     C) 2x – 1
                      2
                      2
                 B) 6xy  (x + y + 2)(2x – y + 3)                    D) x – 2      E) x + 5
                 C) 6xy  (2x + y + 2)(x – y + 3)
                      2
                                                                                                  3
                 D) 6xy  (2x + y – 2)(2x – y – 3)              3.   Indicar un factor primode: P(x) = x  + 5x + 6
                      2
                      2
                 E) 6xy  (2x + y + 2)(2x – y + 3)
                                                                                     2
                                                                                                   2
                                                                    A) x – 1      B) x  + 6     C) x  + x – 6
                                                                                     2
            18.  Factorizar:                                        D) x + 1      E) x  – x  – 6
                            P  = x  + x + 1
                                  5
                             (x)
                                                               4.   Factorizar:
                                                                                         2
                                                                               2
                                3
                     2
                                   2
                 A) (x  + x + 1) (x  – x  + 1)                       P(x;y) = 3x  + 4xy + y  + 4x + 2y +1
                                3
                 B) (x  + x + 1) (x  + x  + 1)                      indicando uno de los factores primos.
                     2
                                    2
                    2
                              3
                                  2
                 C) (x  – x – 1) (x  – x  + 1)
                     2
                                   2
                              3
                 D) (x  – x – 1) (x  + x  + 1)                      A) x + y + 2            B) x + y – 1
                                    2
                               3
                 E) (x  + x + 1) (x  + x  – 1)                      C) x + y + 3            D) x – y + 1
                    2
                                                                    E) 3x + y + 1
            19.  Factorizar:
                                9
                           12
                                     6
                                            3
                     P  = x  – 3x  – 7x  + 27x  – 18           5.   Indicar un factor primo de:
                      (x)
                                                                           4
                                                                                      2
                                                                                3
                                                                    P(x) = x  +7x  + 14x  + 7x +1
                                  3
                                        3
                                              3
                 A) (x – 1)(x +x+1)(x  – 2)(x  – 5)(x  – 3)
                          2
                                                                                               2
                                                                       2
                                              3
                 B) (x – 1)(x +x+1)(x  – 2)(x +3)(x  – 3)           A) x  + 2x + 1          B) x  + 4x + 1
                                        3
                                  3
                          2
                                                                                               2
                                                                       2
                                  3
                                        3
                                              3
                 C) (x+1)(x  – x+1)(x  – 2)(x +3)(x  – 3)           C) x  + 3x + 2          D) x  + 4x + 2
                         2
                                                                      2
                                        3
                                             3
                 D) (x – 1)(x +x+1)(x +2)(x +3)(x  – 3)             E)x  – x + 3
                                  3
                          2
                                             3
                                        3
                          2
                                  3
                 E) (x – 1)(x +x+1)(x  – 2)(x +4)(x  – 3)

            20.  Indicar un factor primo de:
                                 4
                                      2
                       P  = x  – x  + 2x  – 2x + 1
                             5
                        (x)

                                                2
                 A) x  + x + 1   B) x  + x + 1   C) x  + x – 1
                    2
                                  3
                 D) x  – x+1   E) Ninguna
                    3




                                  3
            1.   Factorizar: P(x) = x  + 2x  – 5x – 6
                                       2
                 indicar la suma de los factores primos.

                 A) 3x + 1     B) 3x + 2     C) 3x – 1
                 D) 3x – 2     E) 3x







             1  Bimestre                                                                                 -81-
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