Polynomials: Definitions, Operations, and Simplification, Study notes of Mathematics

An introduction to polynomials, including their definition, how to determine the overall degree and degree with respect to a specific variable, and how to perform basic operations such as addition and multiplication. It also includes instructions on simplifying polynomial expressions. Fundamental concepts in algebra and is likely suitable for students at the high school or early university level studying mathematics or related subjects. The content could be useful for study notes, lecture notes, assignments, or exam preparation, depending on the specific educational context.

Typology: Study notes

2023/2024

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CLASSE 1A I POLINOMI
1) Un POLINOMIO è
2) Per ognuno dei seguenti polinomi determina il GRADO COMPLESSIVO e il
GRADO RISPETTO ALLA LETTERA a
5aa2a 23 ++
1ba3b2ba5 3352 ++
3) Calcola la SOMMA dei seguenti polinomi:
=+++ )b6a3()2ba( 4242
=++ )b6a3()2ba( 4242
=
++
+ 3b
2
1
a
2
3
1b
5
3
a
2
1
=
+
+ 3b
2
1
a
2
3
1b
5
3
a
2
1
4) Calcola il PRODOTTO dei seguenti polinomi:
= )b1(b2 2
=+ )ba(a3
pf2

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CLASSE 1A I POLINOMI

  1. Un POLINOMIO è

  2. Per ognuno dei seguenti polinomi determina il GRADO COMPLESSIVO e il

GRADO RISPETTO ALLA LETTERA a

a 2 a a 5

3 2

5 a b 2 b 3 a b 1

2 5 3 3

  • − +
  1. Calcola la SOMMA dei seguenti polinomi:

(a + b − 2 )+(− 3 a + 6 b )=

2 4 2 4

(a + b − 2 )−(− 3 a + 6 b )=

2 4 2 4

  • − b 3 2

a 2

b 1 5

a 2

  • − b 3 2

a 2

b 1 5

a 2

  1. Calcola il PRODOTTO dei seguenti polinomi:

2 b ( 1 − b )=

2

− 3 a(a+b)=

ab− 5 2

a 5

− + + b 9

ab a 2 ab 2

( 3 a − b)( 1 −a)=

2

  • a 2 b 2

a b 2

( )

3x xy 1 5x 10

 −^  −^ =

( 3 a+ b− 1 )( 2 a+b− 3 )=

5) Semplifica le seguenti ESPRESSIONI

(a− 3 )(a+ 2 )−( 2 a+ 1 )(a− 4 )+ 2 (a− 3 )(a+ 3 )=