Работна тетратка по математика

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11. MNO@EWE NA POLINOMI 1. Presmetaj gi proizvodite: a) (2a − 1) ⋅ (a + 5) ;

b) ( x − 1) ⋅ (3x 2 − x + 3) ;

v) (4 xy + 2 x) ⋅ (3xy − 5 y ) .

2. Izvr{i gi nazna~enite operacii: a) ( x − 1) ⋅ ( x + 3) − ( x + 2) ⋅ ( x − 2) + (−4 x) ⋅ ( x + 2) ;

b) ( x 2 − 2 x + 1) ⋅ ( x + 1) − 4 x ⋅ ( x 2 − 3x − 1) .

3. Dadeni se polinomite: A = x + 1 , B = 3x + 2 , C = 2 x − 3 . Presmetaj: a) A ⋅ C ;

b) B ⋅ C ;

v) A ⋅ B ⋅ C ;

g) (C ⋅ A) ⋅ (−B) .

4. Pretstavi go, kako polinom vo normalen vid, izrazot: a) (6a 2 − 2a + 1)(3a − 2) − (2a 2 + 3) ⋅ ( x − 4) − 10 ;

b) (a 4 − a 3 + a 2 − a + 1) ⋅ (a + 1) .

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