Page 38 - ALGEBRA 6TO

Álgebra 6° Primaria

1. Halla P(x;y) + Q(x;y), si:

P x;y) = 2 + 3xy – 12x 5y
(
( = Q x;y) 2 + xy 7x – 9y

2
( + R x;y) ( = Q x;y) 4xy – 5x – 4y

2. Halla R(x;y) – S(x;y), si:

2
3
R(x;y) = –3x + 16y – 5xy
S(x:y) = 2x 2 + 3y 3 – 2xy

Solución: Cambiamos de signo al
3
2
(
R x;y) = –3x + 16y – 5xy polinomio sustraendo.
2
(
3
– S x;y) = –2x – 3y + 2xy
3
2
( R x;y ) S (x;y = –5x + 13y – 3xy
)
-

3. Si: P(x;y) = 7x + y – 5xy
2
2

Completa.
(
2
2
3P x;y) = 21 x + 3y – 15xy
(
2
– P x;y) = –7x 2 – y + 5xy
2
(
2
–5Px x;y) = –35x – 5y + 25xy

4. Dados los siguientes polinomios:

2
A(x) = 5x + 4x – 2
2
B(x) = 3x – 5x + 8

2
Si: A(x) – B(x) = mx + nx + p

Halla el valor de: m + n + p.

Solución: Cambiamos de signo al
2
A(x) = 5x + 4x – 2 polinomio sustraendo.
2
– B(x) = –3x + 5x – 8
2
A(x) – B(x) = mx + nx + p

Hallamos los valores:
5 – 3 = ⎯⎯⎯→ m = m 2
+ + 5 = n ⎯⎯⎯ = 9
4
→ n
–2 – 8 = ⎯ p ⎯⎯→ p = –10

m + n + p = 2 + 9 – 10 = 1

3 Bimestre -101-
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