Homework Help: ap algebra

Posted by Tyra on Monday, October 15, 2007 at 8:58pm.

Can you please help me with these problems I dont understand them? thanxs!

Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero.

f(x) = 2(x - 2)(x + 4)^4
2(0-2)(0+4)^4 thats all I know

f(x) = 3(x - 3)(x - 6)^3
3(0-3)(0-6)^3

f(x) = -4(x - 5)^3
-4(0-5)^3

ap algebra - bobpursley, Monday, October 15, 2007 at 9:04pm
Take the first one:
the first zero is at x=2 (it makes the first term zero) the second zero is at x=-4

Now, for crossing the x axis (does the function change sign..take the x-2 term. If x <2, it is negative, if x>2, it is positive, so the function must cross the x axis at x=2. If it didnt change signs (check the (x+4)^4 term)), it much touch the x axis.

I will be happy to critique your thinking.

Answer this Question

Related Questions

ap algebra - Can you please help me with these problems I dont understand them? ...
Polynomial Function - Could you help me with the following problem, I dont ...
college algebra - find the complete zeros of the polynomial function. write f in...
Polynomial Function - Could you please check my answers? Find an nth degree ...
math - use the rational zero theorem to find all the real zeros of the ...
pre-ap Algebra 2 - write a polynomial function f of least degree that has the ...
college algebra - 1. solve the following logarithmic equation log_8(x+8)+log_8(x...
college algebra - use rational zeros theorem to find all the real zeros in the ...
Algebra - Can someone please explain how to do these problems. 1)write a ...
calculus - Find the complex zeros of the polynomial function. Write f in ...

For Further Reading

First Name:
School Subject:
Answer: