ayanlefarah8027 ayanlefarah8027

13-09-2019
Mathematics

contestada

Find the coefficient of x^25 in (1 +x +x^8)^10

Respuesta :

LammettHash LammettHash

13-09-2019

The only way to get a term containing [tex]x^{25}[/tex] is to take 6 copies of 1, 1 copy of [tex]x[/tex], and 3 copies of [tex]x^8[/tex] (since 6+1+3=10, and 6*0+1*1+3*8=25). So this term has a coefficient of

[tex]\dfrac{10!}{6!1!3!}=840[/tex]

Answer Link

Otras preguntas

. Find all the roots of this equation x 3 – 3x 2 + 4x – 12 = 0.

What would this equation be of a line into slope-intercept form, simplifying all fractions 9x+12y=-108

the rule T(4, -1) is used for point (2, -7). Where is the translated point in the coordinate system

How can you get answers to questions like in science that are very involved?

Deon throws a ball into the air. The height, h, of the ball, in meters, at the time t seconds is modeled by the function h(t) = -5t + t + 4. 1. When will the b

Write a polynomial P(x) of degree 5 and with zeros 2, 5/2, (which of multiplicity one) and 0 (of multiplicity 3). Note: if x-c is a zero of P(x) of multiplicity

Is it impossible to increase the cost of an item by less than 1%

A rectangle has a length of 26 inches and a width of 14 inches. If 1 inch = 2.54 centimeters, find the area of the rectangle in centimeters. Round the answer to

Find a two-digit number such that three times the tens digit is 2 less than twice the units digit, and twice the number is 20 greater than the number obtained

Find the sum or difference 8+(-5)