Find the zeros of f(x) = x^4 - 18x^2 + 81. Then sketch a graph of the function.

Question

2. Find the zeros of f(x) = x^4 - 18x^2 + 81. Then sketch a graph of the function.

SnapAndSolve AI · Accepted Answer

Zeros of the function: Factor the polynomial: f(x) = x^4 - 18x^2 + 81 can be rewritten as (x^2 - 9)^2. Set each factor equal to zero: x^2 - 9 = 0. Solve for x: x^2 = 9, so x = ±3. The zeros of the function are x = 3 and x = -3. Graph of the function:The graph is a parabola opening upwards with vertex at the origin, and it touches the x-axis at x = 3 and x = -3.

contact us

Contact Info

Find the zeros of f(x) = x^4 - 18x^2 + 81. Then sketch a graph of the function.

Answer

Have a similar question?

More math questions