Bomarie02
Bomarie02 Bomarie02
  • 25-10-2019
  • Mathematics
contestada

Factor completely X⁴-10x²+9. Please show all work.​

Respuesta :

brandisouthern9
brandisouthern9 brandisouthern9
  • 25-10-2019

Answer:

Let y=x² . Then:

x4−10x2+9=y2−10y+9

y²-10y+9=(y-9)(y-1)

Substitute x² for y:

x4−10x2+9=(x2−9)(x2−1)

x²-9=(x+3)(x-3)

x²-1=(x+1)(x-1)

x4−10x2+9=(x+3)(x−3)(x+1)(x−1)

Answer Link

Otras preguntas

Trials in an experiment with a polygraph include 98 results that include 24 cases of wrong results and 74 cases of correct results. use a 0.01 significance leve
The polynomial 6x2 + x − 15 has a factor of 2x − 3. What is the other factor?
what would be the answer to this?
Two kids are liars, three can only say the truth. Jane: " Julia is only a liar, if John is telling the truth." Julia: "If Joey doesn’t lie, then either Jane or
Is the system of equations is consistent, consistent and coincident, or inconsistent? y=−3x+1 2y=−6x+2
An abnormal plantar reflex in an adult produces babinski's sign, which indicates ________.
Why might there be a size difference between the vacuole found in a plant and animal cell?
The calorie density D, in calories per ounce, of a food that contains c calories and weighs w ounces is given by the formula D=c/w. Ten ounces of a particular b
In hinduism, __________ is the god most associated with the preservation of life.
Evaluate the logarithmic expresión log5 100