Answer:
1) 10x⁵+38x⁴-23x³-101x²- 96x+50
-x+17
(7x²-x-29)=0
3x³ -13x²-4x + 67=0
3x³ -6x²-11x+19
5x²- 20x
Step-by-step explanation:
Spanish
Agregar los polinomios:
(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)
Primero multiplicaremos los polinomios con los corchetes
= 4x + 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)
Ahora simplificaremos dentro de los corchetes agregando primero los términos similares
= 4x + 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)
Ahora suma o resta todos los términos similares y distintos
= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3
= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans
Restando los polinomios
(4x + 9) - (5x - 8) = - x + 17
-5x +8 + 4x + 9 = -x + 17
-x + 17 = -x + 17
(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72
x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72
-x²-10x + 15-20x² + 13x + 72 = 0
-21x² + 3x + 87 = 0
-3 (7x²-x-29) = 0
(7x²-x-29) = 0
(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72
5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72
3x³ + 7x²-11x-5-20x² + 7x + 72 = 0
3x³ -13x²-4x + 67 = 0
(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)
Los signos negativos cambian cuando restamos
= 3x³ -6x²-11x + 19
Ahora multiplicando
5x (x-4) = 5x²- 20x
English
Adding the polynomials :
(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)
First we will multiply the polynomials with the brackets
= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)
Now we will simplify within the brackets first adding the like terms
= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)
Now add or subtract all the like and unlike terms
= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3
= 10x⁵+38x⁴-23x³-101x²- 96x+50 Ans
Subtracting the Polynomials
(4x + 9) - (5x – 8)=-x+17
-5x +8 +4x+9 = -x+17
-x+17=-x+17
(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72
x²-2x²-4x-6x+7+8=20x2-13x-72
-x²-10x+ 15-20x²+13x+72=0
-21x²+3x+87=0
-3(7x²-x-29)=0
(7x²-x-29)=0
(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)= 20x2 +32x-45x-72
5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72
3x³+7x²-11x-5-20x²+7x+72=0
3x³ -13x²-4x + 67=0
(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)
The negative signs are changed when we subtract
= 3x³ -6x²-11x+19
Now Multiplying
5x(x-4) = 5x²- 20x
