SOLUTION: Could (x+9) be a factor of the polynomial function h(x)=3x^9-13x^6+7x-3. Why or why not

Algebra.Com
Question 819367: Could (x+9) be a factor of the polynomial function
h(x)=3x^9-13x^6+7x-3. Why or why not
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Could (x+9) be a factor of the polynomial function
h(x)=3x^9-13x^6+7x-3. Why or why not
------
Check to see -9 is a root of h(x); use synthetic division::
h(-9) = 3(-9)^9-13(-9)^6+7(-9)-3 is not zero.
So x+9 is not a factor of h(x)
-----------------------------------
Cheers,
Stan H.
=================
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

Note: The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0

Could (x+9) be a factor of the polynomial function

h(x)=3x^9-13x^6+7x-3.

  NO, h(-9)  ≠  0     |  (x+9) is not a factor of the polynomial function 

RELATED QUESTIONS


Is x=-1 a zero of the function P(x)=x^3-3x^2-x+3? Why or Why... (answered by Fombitz)

determine whether function is a polynomial function , if it is, state the degree, if it... (answered by Boreal)

Is it possible for x = -2 to be in the Domains of the functions
a) R(x) = (3x^3 - 5x +... (answered by lwsshak3)

Is x^2 + 3y^2 = 9 a function? Why or Why... (answered by richwmiller)

Is (x-2) a factor of 3x^4+6x^3-30x^2+16x-8? Why or Why not?
 (answered by stanbon)

Problem: Determine whether the equation defines y as a function of x. Explain why or why... (answered by josgarithmetic)

f(x)= x(x-6)

 State wheather the function is a polynomial function or not. If it... (answered by funmath)

Are the equations x + 2 = 9 and 1 + x = 9 equivalent?
Tell why or why... (answered by rfer)

Is the folowing an example of a function: Explain why or why not
(2, 4) (3, 9) (-2, 4)... (answered by funmath)