Question

Operaciones con polinomios

Answer 1

SUMA:

* P(X) + Q(X)

${x}^{3} + 8 {x}^{2} + 5x + 4 + {x}^{4} + 3x - 2 \\ {x}^{4} + {x}^{3} + 8 {x}^{2} + 8x + 2$

* Q(X) + A(X)

${x}^{4} + 3x - 2 + {x}^{3} + {x}^{2} + x \\ {x}^{4} + {x}^{3} + {x}^{2} + 4x - 2$

* A(X) + P(X)

${x}^{3} + {x}^{2} + x + {x}^{3} + 8 {x}^{2} + 5x + 4 \\ 2 {x}^{3} + 9{x}^{2} + 6x + 4$

RESTA:

* Q(X) - P(X)

${x}^{4} + 3x - 2 - ( {x}^{3} + 8 {x}^{2} + 5x + 4) \\ {x}^{4} + 3x - 2 - {x}^{3} - 8 {x}^{2} - 5x - 4 \\ {x}^{4} - {x}^{3} - 8 {x}^{2} - 2x - 6$

* Q(X) - A(X)

${x}^{4} + 3x - 2 - ( {x}^{3} + {x}^{2} + x) \\ {x}^{4} + 3x - 2 - {x}^{3} - {x}^{2} - x \\ {x}^{4} - {x}^{3} - {x}^{2} + 2x - 2$

MULTIPLICACIÓN:

* B(X) × C(X)

$(x - 2) \times (x + 4) \\ {x}^{2} + 4x - 2x - 8 \\ {x}^{2} + 2x - 8$

* B(X) × A(X)

$(x - 2) \times ( {x}^{3} + {x}^{2} + x) \\ {x}^{4} - {x}^{3} - { x }^{2} - 2x$

* C(X) × A(X)

$(x + 4) \times ( {x}^{3} + {x}^{2} + x) \\ {x}^{4} + 5 {x}^{3} + 5 {x}^{2} + 4x$