Bomarie02
Bomarie02 Bomarie02
  • 03-10-2019
  • Mathematics
contestada

Which of the following is a factor of x^15 - 64

A) x^5 - 4
B) x^10 - 4x^5 + 16
C) x^10 - 4
D) x^15 + 8x + 16​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-10-2019

Answer:

A

Step-by-step explanation:

[tex]x^{15}[/tex] - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Hence

[tex]x^{15}[/tex] - 64

= ([tex]x^{5}[/tex])³ - 4³

= ([tex]x^{5}[/tex] - 4)([tex]x^{10}[/tex] + 4[tex]x^{5}[/tex] + 16)

Thus A is a factor

Answer Link

Otras preguntas

How many moles of Na2CO3 are in 100.0ml of a 2.0M solution?
Select the point that is a solution to the system of inequalities. Yx^2-4?
I NEED ANSWER ASAP which word best describes the author's viewpoint towards her own father? she pities him for the lack of recognition he recieves for his servi
Where does the line y=x-1 cross the y-axis?
Which of the following equations is equivalent to 4[x + 2(3x – 7)] = 22x – 65? 28x – 7 = 22x – 65 28x – 56 = 22x – 65 10x – 14 = 22x – 65 16x – 28 = 22x – 65
Which of these procedures is the same as multiplying a whole number by 1,000? a). add 1000 to the whole number, 3 times b). multiply the whole number by 3, ten
Can someone help me on 6 pls I need help
a_is the full set of genetic information than an organism carries in its DNA.​
In the colonial period what may have been the easiest way to travel from Baltimore Maryland to Williamsburg Virginia explain
HELP PLZ, i would really appreciate it