SOLUTION: Use the following information to graph the polynomial on graph paper f(x) = 3(x+4)(x-5)^2 a) Use tle leading coefficient test to determine the graph end's behavior b) Find the

Question 377706: Use the following information to graph the polynomial on graph paper
f(x) = 3(x+4)(x-5)^2
a) Use tle leading coefficient test to determine the graph end's behavior
b) Find the x-intercepts, State whether the graph crosses the x-axis or touches the x-axis and turns around
zero multiplicity cross/touch
c) find the y-intercept
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a) The leading term of the polynomial if the factors were multiplied out is . Thus as x approaches , f(x) goes to . Similarly, as x approaches , f(x) goes to .
b) The x-intercepts correspond to the roots -4 and 5. -4 is a single root, and so it has to cross the x-axis (from - to +). 5 is a double root ( or multiplicity 2), and so it turns and touches the x-axis (it stays on or ABOVE the x-axis).
c) When x = 0, . That is the y-intercept.
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