# ap algebra

posted by .

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
3(0-3)(0-6)^3

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

• ap algebra -

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.

## Similar Questions

1. ### algebra

could you help me with the following,I don't understand. Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. 1.f(x) = (x + 1)(x - …
2. ### polynomial functioms-check

Can you please check my work and answers. Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. 1.f(x) = (x + 1)(x - 3)(x - 1)^2 -I …
3. ### ap algebra

Can you please help me with these problems I don't understand them?
4. ### ap algebra

can you check my answers please? 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
5. ### Algebra-check my answers

can you check my answers please? 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
6. ### Algebra

Please help. Having a hard time with this. Find all of the zeros of the polynomial function and state the multiplicity of each. f (x) = (x^2 – 16)^2 A. – 4 with multiplicity 2 and 4 with multiplicity 2 B. – 4i with multiplicity …
7. ### math-163

for the polynomial, list each real zero and its multiplicity. determine whether the graph crosses or touches the x-axis at each x-intercept. f(x)=1/2x^4(x^2-5)(x+1)
8. ### math163

Please i need all the process.. thank you.. for the polynomial, list each real zero and its multiplicity. determine whether the graph crosses or touches the x-axis at each x-intercept. f(x)=1/2x^4(x^2-5)(x+1)
9. ### college algebra

find the zero's for the following polynomial and give the multiplicity for each zero. For each zero, state whether the graph crosses the x-axis or touches the x-axis and turns around. f(x)=5(x-2)(x+4)^3 I am having trouble with this. …
10. ### calculus

Iamhaving a really hard time trying to understand this question. Can someone please show me how to work this question. Give the following polynomial, find a. the zeros and the multiplicity of each b. where the graph crosses or touches …

More Similar Questions