Question: The quartic function t is defined as t(x) = (x 2 5x + 2)(x 2 5x + 4), x. a. Find the four

The quartic function t is defined as t(x) = (x2 − 5x + 2)(x2 − 5x + 4), x ∈ ℝ.

a. Find the four roots of t(x), giving your answers to 3 significant figures where necessary.

b. Sketch the graph of y = t(x), showing clearly the coordinates of all the points where the curve meets the axes.

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