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Margaret [11]
3 years ago
11

What happened in 1853 to transform Port Townsend from a small logging village to a prosperous town?

History
1 answer:
yKpoI14uk [10]3 years ago
8 0

I believe none of the options that have been included are accurate. Port Townsend, located in a corner of the Olympic Peninsula, in the state of Washington, became, in 1853, the official port of entry once the district custom house was moved there from the capital, Olympia. The city, which would soon be known as <em>The City of Dreams</em>, was, for a few decades, the region's main port and trading center.  

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B. -3

The value of a for given polynomial is -3

<h3>Explanation:</h3>

<em>Factor theorem for polynomials,</em>

<u><em>If (x-c) is a factor of polynomial f(x), then f(c)=0</em></u>

Given: x+a is a factor of polynomial 4x^3-13x^2-ax

Let f(x) = 4x^3-13x^2-ax

By Factor theorem, since x+a is a factor of f(x),

(x+a)=[x-(-a)]\\So,\ f(-a)=0

Substituting x=-a in f(x)=0, we get

f(x) = 4x^3-13x^2-ax = 0\\f(-a)= [4(-a)^3]-[13(-a)^2]-[a(-a)] = 0\\(-4a^3-13a^2+a^2)=0\\(-4a^3-12a^2)=0\\-4a^3=12a^2\\\frac{a^3}{a^2} =\frac{12}{-4} \\\\a=(-3)

Therefore, value of a is (-3)

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