Question

When a certain type of plastic is cut into sections, the length
of each section determines its strength. The function f(x) = x4 - 14x3 +
69x2 - 140x + 100 can describe the relative strength of a section of length
x feet. Sections of plastic x feet long, where f(x) = 0, are extremely weak.
After testing the plastic, engineers discovered that sections 5 feet long were
extremely weak.
(i) Show that x-5 is a factor of the polynomial function.
(ii) Are there other lengths of plastic that are extremely weak? Explain
with reasons.​

Answer 1

Answer:

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