Loading [MathJax]/jax/output/SVG/config.js
 
+0  
 
0
4
1
avatar+349 

What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?

 Jan 22, 2025
 #1
avatar+1376 
0

 

What is the coefficient of x in (x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)?    

 

When you multiply two polynomials, each element in one is multiplied by each element in the other. 

 

(x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)     x • 7    =  7x    

(x^3 + x^2 + x + 1)(x^4 + 3x^3 + 4x^2 + 8x + 7)     1 • 8x  =  8x    

 

                                         add them together                  15x    

 Jan 23, 2025

3 Online Users

avatar
avatar