Question 1

What is the shorter procedure when a polynomial is to be divided by a binomial?

Accepted Answer

Synthetic Division

Answer

Long Division

Answer

Remainder Theorem

Answer

Factor Theorem

Question 2

What is the quotient when $(2x^3+x^2-8x-4) $is divided by $(x-2)$?

Accepted Answer

$2x^2+5x+2$

Answer

$2x^2+5x-2$

Answer

$x^2-5x-2$

Answer

$x^2+2$

Question 3

What is the quotient when $(2x^4+5x^3-6x^2+2x+3)$ is divided by $(2x+1)$?

Accepted Answer

$x^3+2x^2-4x+3$

Answer

$2x^3 +4x^2-8x-3$

Answer

$2x^3 +4x^2-8x+6$

Answer

$2x^3 -4x^2-8x+6$

Question 4

Find the quotient and remainder of polynomial $(2x^3-5x^2+3)$ divided by $(x^2+2x-4)$.

Accepted Answer

$2x+1+ \frac{6x+7}{x^2-2x-4}$

Answer

$2x-2+ \frac{(x+1)}{(x^2-2x-4)}$

Answer

$2x+1+  \frac{6x+1}{x^2-2x-4}$

Answer

$2x-1+ \frac{(6x-1)}{(x^2-2x-4)}$

Question 5

Find the remainder when $(x^3+3x^2-6x-2)$ is divided by $(x+4)$.

Accepted Answer

6

Answer

10

Answer

-6

Answer

0

Question 6

What is the divisor in the illustration below?

Accepted Answer

$x+2$

Answer

$-31$

Answer

$x^2-6x+14$

Answer

$x^3-4x^2+2x-3$

Question 7

Which polynomial gives a quotient of $(3x^2+2x+4)$ and a remainder of $19$ when divided by $(2x-3)$?

Accepted Answer

$6x^3-5x^2+2x+7$

Answer

$6x^3-5x^2+4x+7$

Answer

$6x^3+5x^2+2x+7$

Answer

$6x^3-5x^2+2x$

Question 8

A segment formed by joining the center and a point on the circle is __________.

Accepted Answer

radius

Answer

central angle

Answer

chord

Answer

diameter

Question 9

Which of the following is TRUE about central angle?

Accepted Answer

An angle whose vertex is the center of the circle.

Answer

A segment whose endpoints is on the circle.

Answer

It is an angle whose sides are the chords and whose vertex is a point on the circle.

Answer

The sets of points on the circle while lie in the exterior of central angle.

Question 10

What is the leading coefficient of the polynomial function $f(x)= 2x+x^3- 4$?

Accepted Answer

1

Answer

4

Answer

3

Answer

2

Question 11

Find the x-intercepts of $f(x)=(x-6)(2x-6)(x+3)$.

Accepted Answer

6, 3, -3

Answer

-6, $ \frac{6}{2}$, 3

Answer

6, -6, 3

Answer

-6, -3, 3

Question 12

Find the x and y intercept of$ x^3+4x+4x$.

Accepted Answer

x-intercept:   0, -2, -2    & y-intercept:  0

Answer

x-intercept:   0, 2, 2   &    y-intercept:  0

Answer

x-intercept:   0, 2, -2  &   y-intercept:  4

Answer

x-intercept:   0, 2     &      y-intercept:  4

Question 13

Determine the behavior of the graph $f(x)= (x^3+4x^2+12x-2)$.

Accepted Answer

Falls to the left and rises to the right.

Answer

Rises to the left and falls to the right.

Answer

Rises to the left and to the right.

Answer

Falls to the left and  to the right.

Question 14

Consider the polynomial function $f(x)= (-x^4-x^2+12x-2)$, determine the end behavior of its graph.

Accepted Answer

Falls to the left and  to the right.

Answer

Rises to the left and to the right.

Answer

Rises to the left and falls to the right.

Answer

Falls to the left and rises to the right.

Question 15

If the end behavior of the graph rises to the left and falls to the right, the ___________________.

Accepted Answer

leading coefficient is negative and the degree is odd

Answer

leading coefficient is positive and the degree is even.

Answer

leading coefficient is negative and the degree is even.

Answer

leading coefficient is positive and the degree is odd.

Question 16

What is the leading term of polynomial function $f(x)= 2x^3+3x^2+5x^4-x+2)$?

Accepted Answer

$5x^4$

Answer

$3x^2$

Answer

$2x^3$

Answer

$2x$

Question 17

Jimin spend $(3x^3-7x^2+22x-60)$ pesos for his daily food wherein x stand for the number of days. How much is  his expenditure for food in a half month of September?

Accepted Answer

8, 820 pesos

Answer

12, 500 pesos

Answer

8,000 pesos

Answer

7, 870 pesos

Question 18

A car is moving at a speed of $(7x^2+8x+20)$. If x is the number of hours it travels, what is the distance covered by the car if travels for 3 hours?

Accepted Answer

107 hours

Answer

100 hours

Answer

95 hours

Answer

86 hours

Question 19

Find the other factor of $(3x^3-1-x+7x^2)$ by dividing it by $3x+1$.

Accepted Answer

$x^2+2x-1$

Answer

$x^2-2x+1$

Answer

$x^2+2x+1$

Answer

$x^2-2x-1$

Question 20

Factor $P(x)= x^3+2x^2+x$.

Accepted Answer

$x(x+1)^2$

Answer

$x(x-1)^2$

Answer

$x(x-1)(x+1)$

Answer

$x(x+2)^2$

Question 21

If P(3)=2, which of the following statements is TRUE about P(x)?

Accepted Answer

x-3 is not a factor of P(x)

Answer

P(0)=3

Answer

x+3 is a factor of P(x)

Answer

3 is a root of P(x)=2

Question 22

Divide $(4x^5+x^3- 17x^2+3x) $by $(2x-3)$.

Accepted Answer

$2x^4+3x^3+5x^2-x$

Answer

$4x^4+6x^3+10x^2-2x$

Answer

$2x^4+3x^3+5x^2+2$

Answer

$4x^3+6x^2+10x-2$

Question 23

What are the possible roots of $2x^3-x^2-3x+8$?

Accepted Answer

±1,±2,±4,±8

Answer

±1,±2,±4,±8, ±¼

Answer

±1,±2,±4,±8, ±¾

Answer

±1,±2,±4,±8, ±½

Question 24

One of the roots of the polynomial equation $x^3+2x^2-5x-6=0$ is  2. Find the other roots.

Accepted Answer

-1, and -3

Answer

1 and 3

Answer

-1 and 3

Answer

1  and -3

Question 25

What are the real roots of $2x(x+5)(x-5)$

Accepted Answer

0, -5, 5

Answer

2, -5, 0

Answer

0, 5, 5

Answer

2, 5 -5

Question 26

Which of the following  is NOT a root of $x(x+4)^2$ $(x−1)(3x+1)$?

Accepted Answer

-1

Answer

0

Answer

-4

Answer

$ \frac{-1}{3}$

Question 27

How many positive real roots does $(x^3+x^2-4x+4)$ have?

Accepted Answer

1

Answer

3

Answer

2

Answer

4

Question 28

What will be the m∠BTP,  if the measure of the intercepted arc $BD= 35°$ in circle T

Accepted Answer

$65°$

Answer

$325°$

Answer

$115°$

Answer

$135°$

Question 29

32.	Which of the following statement is TRUE?

Accepted Answer

The degree measure of the minor arc is the measure of the central angle which intercepts the arc.

Answer

The degree measure of the minor arc is the half measure of the central angle which intercepts the arc.

Answer

The degree measure of the major arc is the measure of the inscribed angle which intercepts the arc.

Answer

The degree measure of the major arc is the measure of the central angle which intercepts the arc.

Question 30

33.	What is the relationship between central angle and arc?

Accepted Answer

Two minor arcs are congruent if and only if their corresponding central angles are congruent.

Answer

a.	The degree of major arc is the measure of the central angle which intercepts the arc.

Answer

Two minor arcs are congruent if and only if their corresponding chords are congruent.

Answer

The degree measure of a semicircle is 190º.

Question 31

The degree measure of the semicircle is ______?

Accepted Answer

180°

Answer

$ \frac{1}{2}$

Answer

360°

Answer

90°

Question 32

36.	What is an angle whose vertex is on a circle and whose sides contain chords of the circle?

Accepted Answer

Inscribed angle

Answer

Intercepted angle

Answer

Central angle

Answer

Circumscribed angle

Question 33

37.	If an inscribed angle of a circle intercepts a semicircle, then the angle is ___________.

Accepted Answer

straight

Answer

right

Answer

obtuse

Answer

acute

Question 34

39.	It is a set of points at a given distance from a given point.

Accepted Answer

circle

Answer

daimeter

Answer

chord

Answer

radius

Question 35

A demographer predicts that the population, P, of a town from now can now be modelled by the function $P(t)= 6t^4-4t^2+100t+15500$. What will be its population three years from now?

Accepted Answer

15, 678

Answer

16, 678

Answer

16, 178

Answer

15, 178

Question 36

Factor this polynomial $x^3+4x^2+5x+2$, to find the x-intercepts.

Accepted Answer

-1, -2

Answer

+1, -1, 2

Answer

1, 2

Answer

1, -2,  2

Question 37

43.	What is NOT included in the characteristics of the graph?

Accepted Answer

leading coefficient

Answer

leading term

Answer

x and y-intercept

Answer

behavior of the graph,

Question 38

If you will draw the graph of $y=x(x+2)^2$, how will you sketch it with respect to the x-axis?

Accepted Answer

Sketch it crossing both (-2, 0) and (0, 0).

Answer

Sketch it tangent at both (-2, 0) and (0, 0).

Answer

Sketch it tangent at (-2, 0) and crossing (0, 0).

Answer

Sketch it crossing (-2, 0) and tangent at (0, 0)

Question 39

If the given polynomial function is $f(x)= x^4+x^3-3x+4$, how many turning points of the graph will it have?

Accepted Answer

3

Answer

2

Answer

4

Answer

1

Question 40

Using the polynomial function $f(x)= x^4+x^3-3x+4$, what will be the end behavior of the graph?

Accepted Answer

Rises to the left and to the right.

Answer

Falls to the left and rises to the right.

Answer

Falls to the left and to the right.

Answer

Rises to the left and falls to the right.

Question 41

You are asked to illustrate the sketch of $f(x)= x^3-3x+4$ using its properties. Which will be your sketch?

Accepted Answer

https://uploads.quizalize.com/1ca486ed-3b7a-4787-ad3b-748310c3ed30/question/b8df66421410d95bf0353b6db1fb93a017f39ba8.jpg

Answer

https://uploads.quizalize.com/1ca486ed-3b7a-4787-ad3b-748310c3ed30/question/cc01074594532a630cb4b483a23e2fe7cec97978.jpg

Answer

https://uploads.quizalize.com/1ca486ed-3b7a-4787-ad3b-748310c3ed30/question/9ed96a1fb370ed4f34ae7bdc5f94a6a3173eed62.png

Answer

https://uploads.quizalize.com/1ca486ed-3b7a-4787-ad3b-748310c3ed30/question/5f6d896074dbc4086a1433cf84c957880d2866c7.jpg

Question 42

Dao Ming Si decided to save money from his monthly income. The total savings is modeled by the function   $S(m)= 2m^3+3m^2+6m +100$,   where m is the number of months since saving money. How much did he saves after 6 months?

Accepted Answer

676

Answer

670

Answer

546

Answer

500

Question 43

The number of kilograms of corn of yielded every year by Mang Juan’s farm is modelled by the function $f(x)= x^3+5x^2+x -25$. How many kilograms of corn will be yield after 5 years?

Accepted Answer

230

Answer

200

Answer

130

Answer

125

Question 44

Which of the following could be the graph of the polynomial fuction $y=x^3-x^2-3x+8$?

Accepted Answer

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Answer

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Answer

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