keanureevesbab keanureevesbab
  • 19-07-2019
  • Mathematics
contestada

which term can be used in the blank of 36x^3-22x^- so the greatest common factor of the resulting polynomial is 2x?

Respuesta :

absor201
absor201 absor201
  • 01-08-2019

Answer:

144x

Step-by-step explanation:

36x^3-22x^2-144x

This is the expression which has G.C.F 2x.

We can solve it:

Find the factors of each term one by one

Factors of 36x³

36 = 2² * 3²

36 = 1,2,3,4,6,9,12,18 and 36

x³ = 1,x,x²,x³

Factors of  22x²

22 = 2*11

22 = 1,2,11,22

x² = 1, x, x²

Factors of  144x

144 = 2^4 * 3²

144 = 1,2,3,4,6,9,12,18,24,36,48,72,144

x= 1,x

Thus the G.C.F is 2x

Therefore it is now proved that 144x is the term ....

Answer Link

Otras preguntas

What is the volume of the composite figure?
Which item has more thermal energy? Question 6 options: a.) 500 ml of water at 50 degrees Celsius b.) 100 ml of water at 50 degrees Celsius c.) They both have t
The Spanish recruited thousands if supporters from the people the aztecs had conquered A. True B. False
Answer the following question affirmatively using “oui” or negatively using “ne…pas”. You may copy and paste the accented characters from this list if needed: À
Segun la tradicion, qué traen los reyes a los niños que se portan mal?
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passenge
Write an equation between the two points (-3, 0) and (-3, -6)
What did Nebuchadnezzar build around his city?
what is they-intercept
16 POINT HELP ASAP PLZ