Cn someone please help me with this, I will literally mark as brainliest!!!

Use the function f(x) = −16x2 + 24x + 16 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)

A.In practice, the Factor Theorem is used when factoring polynomials "completely". ... Any time you divide by a number (being a potential root of the polynomial) and get a zero remainder in the synthetic division, this means that the number is indeed a root, and thus "x minus the number" is a factor.

B.The x-intercept of the graph is the point where the function crosses teh x-axis. The y-value is equal to zero for every point on the x-axis. 2. Substitute y = 0 into the given function: 0 = x^2 - 3x + 2.

C.The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

D.To find the value of f(3) we need to follow the below steps : Step 1 : First plot the graph of f(x) Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0) Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .

step-by-step explanation:

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