Question

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 :(

Answer 1

It would depend on what h(x) is. You did not list it.

Answer 2

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) = ____________ ?

Answer 3

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.

Answer 4

Thank You so much MathMate, the answer you gave is right :)

Answer 5

how can i get the 2x^4 for largest value of |x| i don't understand