evametz1027 evametz1027
  • 14-06-2021
  • Mathematics
contestada

Find the coefficient of the t4
term in the expansion of
(4t – 375
a

Find the coefficient of the t4 term in the expansion of 4t 375 a class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 14-06-2021

9514 1404 393

Answer:

  -3840t^4

Step-by-step explanation:

The k-th term, counting from k=0, is ...

  C(5, k)·(4t)^(5-k)·(-3)^k

Here, we want k=1, so the term is ...

  C(5, 1)·(4t)^4·(-3)^1 = 5·256t^4·(-3) = -3840t^4

__

The program used in the attachment likes to list polynomials with the highest-degree term last. The t^4 term is next to last.

Ver imagen sqdancefan
Answer Link

Otras preguntas

other that uses probing are
A swimmer is moving at a speed of 2. 0 m seconds how long will it take for a swimmer to go 100 m
Please help I cannot fail!
Please help me I will give brainlist
PLEASE HURRY!!!!! EXPLAIN why or why not.
question b only please b) A different pattern is made using 20 straight lines and 14 arcs. The straight lines and arcs are made from metal. 20 straight lines co
Please answer as soon as possible will give brainliest answer​
Factor the polynomial by its greatest common monomial factor. 20 y 6 − 15 y 4 + 40 y 2 = 20y 6 −15y 4 +40y 2
only one question, correct answer gets brainliest
What would the volume of a gas be at –150°C, if it had a volume of 693 mL at 45°C?