posted by Tyra on .
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 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 that's all I know
f(x) = 3(x - 3)(x - 6)^3
f(x) = -4(x - 5)^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 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 didn't change signs (check the (x+4)^4 term)), it much touch the x axis.
I will be happy to critique your thinking.