Math 10 quiz bee quarter 2

1. WHAT IS THE LEADING
COEFFICIENT OF THE FUNCTION
𝑦 = −9𝑥3
+ 45𝑥2
-18X-72?
A. 2 B. 3 C. -9
D. 72

2. From the polynomial function
𝑦 = (2𝑥 + 3)) 𝑥 − 1 2
(𝑥 + 3) , at
what root is the graph tangent to the x-
axis?
a. 1 b. 2
b. 3 d. -3

3. What could be the graph of the polynomial function
𝑦 = 𝑥3
− 4𝑥2
+ 3𝑥 − 12?

4. Fromthechoices,whichpolynomialfunction,infactoredform,representsthegivengraph?
𝑎.𝑦=(𝑥+2)(𝑥+1)(𝑥−1)
𝑏.𝑦=(𝑥+1)(𝑥−1)(𝑥−2)
𝑐.𝑦=𝑥(𝑥+2)(𝑥+1)(𝑥−1)
𝑑.𝑦=𝑥(𝑥+1)(𝑥−1)(𝑥−2)

5. YourclassmateLinusencountersdifficultiesinshowingasketchofthegraphof𝑦=2𝑥3+3𝑥24𝑥−6.
YouknowthatthequickesttechniqueistheLeadingCoefficientTest.YouwanttohelpLinusinhisproblem.Whathint/clue
shouldyougive?
a Thegraphfallstotheleftandrisestotheright.
a. Thegraphrisestobothleftandright.
b. Thegraphrisestotheleftandfallstotheright.
c. Thegraphfallstobothleftandright.

6. What is the leading
coefficient of the
polynomial function 𝑦 =
− 𝑥5
-5𝑥3
+4x

7. What is the degree of
the polynomial function
𝑦 = 𝑥2
(𝑥2
-7)(2x+3)

8. Which of the following are the x-
intercepts of the polynomial
function y=(x-2)(x+1)(x+4) ?
A. -4 , -1 , 2 C. -2 ,1 , 4
B. -2, -1, 4 D. 1 , 2 , -4

9. The y intercept of the polynomial
function 𝑦 = −𝑥4
+ 16 ?
A. -1 C. 4
B. 16 D. 2

10. Wenna is thinking of the easiest way on how to sketch the graph of 𝑦 =
𝑥4
+ 2𝑥3
+13𝑥2
-14x-24. You know that you have knowledge about
Leading Coefficient Test. What will you tell her?
A. The graph of the function is falling to the left and rising to the
right.
B. The graph of the function is rising to the left and falling to the
right.
C. The graph of the function is both rising to the left and right.
D. The graph of the function is both falling to the left and right.

11. Which of the following is true about the number of turning points on the
graph of polynomial function?
A. The number of turning points is always the same as the degree
of the
polynomial.
B. The number of turning points is always less than the degree of
the
polynomial.
C. The number of turning points is less than or equal to the degree
of
the polynomial.
D. The number of turning points is more than or equal to the
degree of
the polynomial.

12. . If you will draw graph of 𝑦 = 𝑥2
(𝑥 − 1), how will the graph
behave
At the x-axis?
A. The graph crosses both (0,0) and (1,0).
B. The graph crosses (0,0) and is tangent to the x-axis at
(1,0).
C. The graph crosses (1,0) and is tangent to the x-axis at
(0,0).
D. The graph is tangent to the x-axis at both (0,0) and (1,0).

13. Lei Andrei is tasked to choose from the
numbers -2, -1, 3, and 6 to form a
polynomial function in the form y=ax^n.
What values should he assign to a and n
so that the function could define the
graph below?
A. a=3,n=-2 B. a=3,n=6
C. a=6,n=3 D. a=-1

14. LeiAndreiistaskedtochoosefromthenumbers-2,-1,3,and6toformapolynomialfunctionintheform𝑦=𝑎𝑥𝑛.Whatvalues
shouldheassignto𝑎and𝑛sothatthefunctioncoulddefinethegraphbelow?
A.𝑎=3, 𝑛=−2
B.𝑎=3, 𝑛=6
C.𝑎=6, 𝑛=3
D.𝑎=−1

15. If an inscribed angle of a circle
intercepts a semicircle, then the angle
is __________.
a.acute b. right
c.obtuse d. straight

16. 17.InoOattheright,whatismeasureof<SOVifarcVS=280?
a.140 b.280 c.180 d.100 O

17. InOM,whatis<BROif<BMO=60? S
R M B a.120 b.60 c.30 d.15

18. Which is not true about the chord, radius
and diameter of a given circle?
a. Radius and diameter are chords of a
circle
c.Diameter is the longest chord of the circle
b. Radius that passes the center to other
part of the circle
d.Half of the diameter is radius

19. In a given circle the degree measure of
an inscribed angle is 30, what is the
degree measure of its arc?
a. 30 b. 60 c. 15
d. 45

20. If the degree measure of the
central angle is 60, what is the
degree measure of its arc?
a. 30 b. 60 c. 15
d. 45

21. . If an inscribed angle of a circle
intercepts a semicircle, what is the
degree measure of the angle facing
the diameter?
a. 45 b.90 c.180
d.360