# SOLUTION: MATH 1050 City University of Seattle Polynomial Math Quiz

Quiz, Summer Week 2
Points possible: 100
Name:
Math 1050-90, Summer 2020, Due 5/26 at 11:59 p.m.
Rules/Suggestions: Transcribe after a while a ebon pencil, so that your product is apparent. You are graded on your
work, not equitable rejoinders. Even if you do calculations in your source or on dabble, pomp product if
space is supposing. Transcribe the definite rejoinder in the box if supposing.
Notes: You are on your dignity for this to be your own product. (You can ask for acceleration on quiz symbolical, but you
should not ask for acceleration on peculiar totals.)
1. Rejoinder the subjoined environing open polynomials.
(a) (5 points) Given a polynomial of quality n we must enjoy that the qualitative coefficient
an 6= 0. Why must this be the contingency?
(b) (5 points) Given a polynomial whose quality is 5 what is the last calculate of zeros it can
have? the most?
y
2. (12 points) Sketch the graph of the subjoined operation. Note: I anxiety balance environing
the zeros and the bearing of the graph
not the maximum/minimum in between
zeros.
f (x) = x2 (x + 2)(x + 1)(x − 1)
6
4
2
−6
−4
−2
2
−2
Page 1
−4
−6
4
6
x
3. (10 points) The operation f is invertible. Find the inverse (it is not its own inverse.) Pomp product!
f (x) =
3x + 2
5−x
f −1 (x) =
4. Analyze the graph of f under to rejoinder the subjoined questions.
y
(b) (8 points) Transcribe f in the devise
f (x) = ax2 + bx + c. Pomp your product.
6
4
2
−2
2
4
6
x
−2
(a) (8 points) Transcribe f in the devise
f (x) = a(x − h)2 + k. Elucidate how
you get your rejoinder.
f (x) =
(c) (8 points) State the subjoined:
Equation of row of symmetry:
Vertex:
Domain:
f (x) =
Range:
Page 2
5. Perdevise the non-residuum and rejoinder the questions:
3x4 − 10x2 − 8x + 3
(a) (10 points) Divide
x−1
using crave or synthetic non-location.
Q(x) =
R(x) =
(b) (3 points) Retranscribe the polynomial
(c) (6 points) Does your product in 5 a) give
you any instruction environing f (3)? If yes,
elucidate what and how you apprehend this. If
not, elucidate why not?
(d) (6 points) Does your product in 5 a) give
you any instruction environing f (1)? If yes,
elucidate what and how you apprehend this. If
not, elucidate why not?
P (x) = 3x4 − 10x2 − 8x + 3
in the devise P (x) = Q(x)D(x) + R(x)
where D(x) = x − 1.
P (x) =
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6. For the subjoined questions ponder the
−x − 4
operation g(x) =
and its partial
x−3
graph under. Note: I enjoy borrowed the 45
quality row for your behoof.
5
4
3
2
1
-5 -4 -3 -2 -1-1
-2
-3
-4
-5
(b) (6 points) Verify that
3x − 4
is the
x+1
inverse of g(x).
y
x
1
2
3
4
5
f
(a) (8 points) Graph the inverse of the
operation g(x) on the graph balance.
7. (5 points) What was the eespecial code
word in the Gradescope feedback on total 5 of quiz 1? If you did not transfer Quiz
1, transcribe “I did not transfer Quiz 1”.
Answer:
8. Check your deviseatting. Is your designate on the original page? After you superintend it, face it balance to
form believing it is decipherable, pages are in the fit adjust, and form believing it meets the requirements
described in A: Transfer Home Quiz. Remember to succumb a uncombined indecent-page finish, not indecent uncombined
page finishs.
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