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AlexFokin [52]
3 years ago
7

Recall that we identified x, x − 1, and x + 2 as three factors of p(x) = x4 − 4x3 − 7x2 + 10x by using the remainder theorem to

inspect a set of expressions. We were unable to identify the fourth factor. Now that you’re familiar with synthetic division, write the process you would use to find the fourth factor of p(x).

Mathematics
2 answers:
shtirl [24]3 years ago
5 0

Answer:

(x-5) is the fourth factor

Step-by-step explanation:

See the attached file

givi [52]3 years ago
4 0
X_5 is the forth factor
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X+103=180<br> Enter the measurement of the exterior angle of the triangle.
Zigmanuir [339]

Answer: x° = 77°


Step-by-step explanation:

x + 103 = 180

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garri49 [273]

Answer:

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Use the Fundamental Theorem of Line Integrals to calculate ∫c F⃗ ⋅dr⃗ exactly, if F⃗ =3x2/3i⃗ +ey/5j⃗ , and C is the quarter of
nignag [31]

It looks like the vector field is

<em>F</em><em>(x, y)</em> = 3<em>x</em> ^(2/3) <em>i</em> + <em>e</em> ^(<em>y</em>/5) <em>j</em>

<em></em>

Find a scalar function <em>f</em> such that grad <em>f</em> = <em>F</em> :

∂<em>f</em>/∂<em>x</em> = 3<em>x</em> ^(2/3)   =>   <em>f(x, y)</em> = 9/5 <em>x</em> ^(5/3) + <em>g(y)</em>

=>   ∂<em>f</em>/∂<em>y</em> = <em>e</em> ^(<em>y</em>/5) = d<em>g</em>/d<em>y</em>   =>   <em>g(y)</em> = 5<em>e</em> ^(<em>y</em>/5) + <em>K</em>

=>   <em>f(x, y)</em> = 9/5 <em>x</em> ^(5/3) + 5<em>e</em> ^(<em>y</em>/5) + <em>K</em>

(where <em>K</em> is an arbitrary constant)

By the fundamental theorem, the integral of <em>F</em> over the given path is

∫<em>c</em> <em>F</em> • d<em>r</em> = <em>f</em> (0, 1) - <em>f</em> (1, 0) = 5<em>e</em> ^(1/5) - 34/5

5 0
3 years ago
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