SOLUTION: What is the coefficient of the term free of x of the expansion of (2x - 5y)^4 The degree of the polynomial f(x) whose only root is 3 of multiplicity 3 is three. TRUE or False

Algebra.Com
Question 1001659: What is the coefficient of the term free of x of the expansion of (2x - 5y)^4
The degree of the polynomial f(x) whose only root is 3 of multiplicity 3 is three. TRUE or False
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The coefficient of the term without an x is (-5y)^4.
The coefficient is (-5)^4=625.
Only root of 3 is multiplicity 3 is degree three. TRUE. If the only REAL root is 3, it is possible for the polynomial to have complex roots.

Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
What is the coefficient of the term free of x of the expansion of (2x - 5y)^4
The degree of the polynomial f(x) whose only root is 3 of multiplicity 3 is three. TRUE or False
An x doesn't exist at the term where x = . This is at the 5th term of the expansion, or more specifically at: .

This results in:  ------->  -------> , which gives a coefficient of:  

RELATED QUESTIONS


What is the coefficient of the x^6y^4 term in the expansion of... (answered by ewatrrr)

In the expansion of (x + 4y)^12, the numerical coefficient of the 5th term... (answered by MathLover1)

in the binomial expansion of (x+y)^8 what is the coefficient of the term containing x^3... (answered by edjones)

For the polynomial f(x)-4-2x^2+3x^4  					

a)	Classify f(x) as constant, linear,... (answered by vleith)

What is the coefficient of x^7 in the expansion of (2x+10)^10... (answered by Fombitz)

What is the coefficient of x^8 in the expansion of (x +... (answered by robertb)

 Find the coefficient of the x^8 term in the expansion of (x + 3)^17  (answered by MathLover1)

Find the coefficient of the {{{ x^8 }}} term in the expansion of {{{ (x+3)^17... (answered by Boreal)

what is the coefficient of the 5th term of the expansion of (2x^2 + 3y^3)^10 how about... (answered by MathLover1,greenestamps)