ap algebra
posted by Tyra .
Can you please help me with these problems I don't understand them? thanxs!
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the xaxis or touches the xaxis and turns around, at each zero.
f(x) = 2(x  2)(x + 4)^4
2(02)(0+4)^4 that's all I know
f(x) = 3(x  3)(x  6)^3
3(03)(06)^3
f(x) = 4(x  5)^3
4(05)^3

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 x2 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 didn't change signs (check the (x+4)^4 term)), it much touch the x axis.
I will be happy to critique your thinking.