SOLUTION: factor completely: g(x)= -1/4(x^4-x^3-5x^2-x-6) If g(3)=0 and g(4)= -25 1/2
Algebra.Com
Question 676329: factor completely: g(x)= -1/4(x^4-x^3-5x^2-x-6) If g(3)=0 and g(4)= -25 1/2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
factor completely: g(x)= -1/4(x^4-x^3-5x^2-x-6) If g(3)=0 and g(4)= -25 1/2
---------
Since g(3) = 0, x-3 is a factor of g(x)
-----------
3)....1....-1....-5....-1....-6
......1....2.....1.....2...|..0
-----
Quotient: x^3+2x^2+x+2
= x^2(x+2)+(x+2)
---------
= (x+2)(x^2+1)
=====================
g(x) = (-1/4)(x-3)(x+2)(x^2+1)
================================
Cheers,
stan H.
RELATED QUESTIONS
Please help:
If g(x)= 2x^2-5x-7
Find g(-1), g(2), g(-3), g(4)... (answered by xcentaur)
If g(x) = 4|x-3|+2. Find g(1)
(answered by josgarithmetic,ikleyn)
If f(x)=2x-1 and g(x)=x^2 find :
1. g(g(x))
2. g(f(x))
3. f(g(x))
4.... (answered by fcabanski)
Find g(0), g(-1), g(-4) and g(2/3) for g(x)= x over square root
√... (answered by Aldorozos,ikleyn)
find the value if f(x)=5/x+2 and g(x)=-2x+3
1.)f(-4)
2.)g(1/2
3.)g(-6)... (answered by math_helper,MathTherapy,ikleyn)
if f(x)=cos((pi)/(x)) , g (2) = 3 , g '(2) = - 2, g ''(2) = 1/4, then , (f (g... (answered by Edwin McCravy,mccravyedwin)
What is the solution of function g^2,g^3,g^4,g^5,g^6 and g^30?
The question give :... (answered by Alan3354)
if f(x)=2x+4 and g(x)=x^2+1, find (f o... (answered by Nate)
Evaluate: (f/g)(-1) - g(3)
for f(x) = x^2 +1
g(x) = x - 4
(answered by stanbon)