math urgent urgent urgent
posted by zach w .
1)let f(x) be a polynomial function explian how to use the factor theorem to check if (xc) is a factor of F(x)
2) use synthetic division to factor X^22x^29x+18 completly

math urgent urgent urgent 
Reiny
if f(c) = 0 , then xc is a factor
for f(x) = x^2  2x^2  9x + 18
why do you have two x^2 terms, I will assume the first is x^3
If so, we don't need the factor theorem for this one, grouping is obvious
x^3  2x^2  9x + 18
= x^2(x2)  9(x2)
= (x2)(x^2  9)
= (x2)(x+3)(x3)
if you had not seen this, try x = ±1, ±2 , ±3 , that is factors of 18
f(1) ≠ 0
f(1) ≠ 0
f(2) = 0 , yeahhhh, so x2 is a factor
..
f(3) = 0 , so x3 is a factor
f(3) = 0 , so x+3 is a factor
since we have a cubic, there can only be a maximum of 3 algebraic factors
so as above
(x2)(x+3)(x3)
Respond to this Question
Similar Questions

Math
Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3  28x  48 = 0 x=2 I have no idea how … 
algebra 2
SImplify the expressions. 1. x to the seventh times 1/x squared 2. (3 quaredx to the sixth)cubed 3. x to the nith/ x negitive squared 4. 15xsquaredy/ 6x to the fourthy to the fifth times 6xcubed y squared/5xy USE direct substitution … 
Using the factor Theorem
use the factor theorem to determine whether xc is a factor of f(x) f(x)=x^3+8x^218x+20; x10 I have a doubt in my answer, i determined that x10 is not a factor... am i right? 
PreCal(Please help)
Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3  28x  48 = 0 Value of x = 4 Please … 
pre cal
Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function. x^3  28x  48 = 0 Value of x = 4 Please … 
Factor Theorem Math
Use the Factor Theorem to determine the rational zeros of this function. Then use other methods to determine any other zero of this function. 4x^4x^311x^22x+6 (I already did p/q and found a total of 16 possible zeros. I synthetic … 
college algebra
let f(x) be polynomial function. explain how to use the factor theorem to check if x) is a factor of F(x) 
Algebra ll
Consider the function f(x) = x4 – 3x3 – 7x2 + 15x + 18. Use synthetic division to divide f(x) by x – 3. Use the answer to explain whether or not x – 3 is a factor of f(x).Factor f(x) completely. 
Algebra 2 (Please help Ms. Sue!)
Use synthetic division and the given factor to completely factor the polynomial. x^3x^224x36; (x6) How do I do this? 
Precalc
Use the Remainder Theorem to determine if x  2 is a factor of the polynomial: f(x) = 3x^5  7x^3  11x^2 + 2 I am confused because I cannot rationally factor this polynomial. Does it want me to use x  2 as a denominator?