Wednesday
April 23, 2014

Homework Help: calculus(equating coefficients)

Posted by Jay on Monday, June 6, 2011 at 10:58pm.

Can somebody explain to me why equating coefficients work?

Example:
8x^3+13x = Ax^3 + 2Ax + Bx^2 + 2B + Cx + D

expanded into:

8x^3 + 13x = Ax^3 + Bx^2 + (2A+C)x + 2(B+D)

where A,B,C,D are constants.

Why does 8 = A; 0 = B; 13 = 2A + C; etc.

I know they have same power variables, but why does this actually work? Thanks!

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Algebra - Is this right? Decompose into partial fractions. (2x^2-24x+35)/(x^2+2x...
math/algebra - subtract. express in simplest form 13x/30 - 4x/ 15 = factor the ...
Math help please ASAP - 2. Simplify the polynomial. 3f^2 + 4f 3 + 8f^2 + 7f...
Math help please check - Add or Subtract for #3-4 3. (2x2 + 6x + 1) + (7x2 + ...
Calculus II - 1) Compute the indefinite integral: integral 2x ln(x^2 - 8x + 18) ...
algebra - Could somebody tell me in simple terms why equating coefficients works...
calc II - Express the integrals as the sum of partial fractions and evaluate the...
Math (Algebra) - f(x)=x^4+ax^3+bx^2+cx+d and has real coefficients. If two of ...
Math - Create a 3rd degree polynomial with real coefficients that has roots -1 ...
Math - Create a 3rd degree polynomial with real coefficients that has roots -1 ...

Search
Members