Polynomials Problem:
1. List two factors of h(x) of the form x−r: x, x + 2 (right answer)
2. A function of the form ax^n that approximates h(x) for large values of |x| is f(x)= 2x^4. (right answer)
3. This tells us that the degree of h is 4 and the coefficient of the highest degree term of h(x)is 2.(4&2 right answer)
4. If (x2+1) is also a factor of h(x), then h(x)= _______________ ?
Could someone please help me get the 4th question? I have tried many times but can't get it :(
5 answers
It would depend on what h(x) is. You did not list it.
The question didn't list h(x) that's what we are trying to figure out using the all the information above (1-3).
If (x^2+1) is also a factor of h(x), then h(x) = ____________ ?
If (x^2+1) is also a factor of h(x), then h(x) = ____________ ?
If that's all we're given, I do not understand how you got the answer for question a, namely the factors of h(x) correctly as x and (x+2).
If x, x+2 and (x²+1) are factors of h(x), then
h(x)=2x(x+2)(x²+1)
since the highest term is 2x².
If x, x+2 and (x²+1) are factors of h(x), then
h(x)=2x(x+2)(x²+1)
since the highest term is 2x².
Thank You so much MathMate, the answer you gave is right :)
how can i get the 2x^4 for largest value of |x| i don't understand
1 answer