Quiz about Polynomials and Polynomial Equations

Question 1

The following are examples of polynomials, EXCEPT

Accepted Answer

$$4x^3+8x^2+10x-7$$

Answer

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

Answer

$$3x^4-5x^3+2x-1$$

Answer

$$x^3-y^{\frac{1}{3}}$$

Question 2

How many positive real roots does $$x^4-x^3-11x^2+9x-18=0$$ have?

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 3

Find the remainder when $$\left(9x+8x^2+7x^3+...+x^9\right)$$ is divided by $$\left(x-1\right)$$ .

Accepted Answer

45

Answer

360

Answer

180

Answer

90

Question 4

In a Grade 10 class, Mathea is asked to give an example of a 5th degree polynomial equation in standard form with four terms. Which of the following equations will Mathea give?

Accepted Answer

$$2x^5+4x^4-6x-4=0$$

Answer

$$8x+x^3+2x^5-6x-4=0$$

Answer

$$7x^5-2x^4-x^2-x+1=0$$

Answer

$$-4-6x+4x^4+2x^5=0$$

Question 5

What is the quotient when $$\left(9x^2-16\right)$$ is divided by $$\left(3x+4\right)$$ ?

Accepted Answer

$$3x-4$$

Answer

$$3x+4$$

Answer

$$4x-3$$

Answer

$$4x+3$$

Question 6

Which expression gives the remainder when $$P\left(x\right)=4x^2+2x-5$$ is divided by $$\left(x-2\right)$$ ?

Accepted Answer

P(2)

Answer

P(-5)

Answer

P(-2)

Answer

$$P\left(\frac{5}{4}\right)$$

Question 7

Find k so that $$\left(x-2\right)$$ is a factor of $$x^3+kx-4$$ .

Accepted Answer

-2

Answer

-3

Answer

-1

Answer

0

Question 8

The remainder after dividing $$\left(-10x^3+5x^2+K\right)$$ by $$\left(x+1\right)$$ is 4. Which of the following is the value of $$K$$ ?

Accepted Answer

-11

Answer

9

Answer

19

Answer

-19

Question 9

What is the remainder when $$10x^{159}-5$$ is divided by $$\left(x+1\right)$$ ?

Accepted Answer

-15

Answer

5

Answer

10

Answer

15

Question 10

In a Mathematics class there are $$x^2-121$$ students. You are asked to group the number of students into $$x-11$$ . How many groups can you form?

Accepted Answer

$$x+11$$

Answer

$$x+121$$

Answer

$$x-11$$

Answer

$$x-121$$

Polynomials and Polynomial Equations

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