Question

AYUDA PORFA , NECESITO ESE TRABAJO PARA MAÑANA :¨C

Answer 1

Los cálculos para los polinomios dados son:

1. P(x) + Q(x)

$P(x) + Q(x)\\\\4x^{2}-1+x^{3}-3x^{2} +6x-2\\\\x^{2} -3+x^{3} + 6x\\ \\x^{3} +x^{2} +6x-3$

2. P(x)-U(x)

$4x^{2} -1-(x^{2} +2)\\\\4x^{2} -1-x^{2} -2\\\\3x^{2} -3\\\\3(x^{2} -1)$

3. P(x)+R(x)

$4x^{2} -1+6x^{2} +x+1\\\\10x^{2} +x\\\\x(10x + 1)$

4. 2P(x)-R(x)

$2(4x^{2} -1)-(6x^{2} +x+1)\\\\8x^{2} -2-6x^{2} -x-1\\\\2x^{2} -x-3\\\\(2x-3)(x+1)$

5. S(x)+T(x)+U(x)

$\frac{1}{2}x^{2} +4+\frac{3}{2}x^{2}  +5+x^{2} +2\\\\x^{2} (\frac{1}{2} +\frac{3}{2} +1)+11\\\\x^{2} (\frac{1+3+2}{2} )+11\\\\x^{2} (\frac{6}{2})+11\\\\3x^{2} +11$

6. S(x)-T(x)+U(x)

$\frac{1}{2}x^{2} +4-\frac{3}{2}x^{2}  -5+x^{2} +2\\\\x^{2} (\frac{1}{2}-\frac{3}{2}+1)+1\\\\x^{2} (\frac{1-3+2}{2} )+1\\\\x^{2} (0/2)+1\\\\1$