Quiz about Solving Polynomials

Question 1

Solve the equation.

$$x\left(x-5\right)=0$$

Accepted Answer

0

Accepted Answer

5

Answer

no solution

Answer

-5

Question 2

Solve the equation.

$$6d\left(d+8\right)=0$$

Accepted Answer

0

Accepted Answer

-8

Answer

no solution

Answer

8

Question 3

Solve the equation.

$$\left(p+3\right)\left(5p+1\right)=0$$

Accepted Answer

-3

Accepted Answer

-1/5

Answer

-5

Answer

5

Question 4

What are the x coordinates of the graph where it crosses the x-axis.

Accepted Answer

-5

Accepted Answer

5

Answer

0

Answer

10

Question 5

What are the x coordinates of the graph where it crosses the x-axis.

Accepted Answer

-4

Accepted Answer

2

Answer

-2

Answer

4

Question 6

What is the degree of the following polynomial? 4x⁵ + x⁴ - 7x³ + 3x² + 12x - 8 = 0

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Answer

8

Question 7

What does the Rational Root Thm tell you?

Accepted Answer

The possible rational solutions

Answer

The quantity of possible positive & negative solutions

Answer

How many total solutions

Answer

The prime factorization

Question 8

What does the Descarte's Rule of Signs tell you?

Accepted Answer

The quantity of possible positive & negative solutions

Answer

The possible rational solutions

Answer

How many total solutions

Answer

The prime factorization

Question 9

What does the Fundamental Thm of Algebra tell you?

Accepted Answer

How many total solutions

Answer

The quantity of possible positive & negative solutions

Answer

The possible rational solutions

Answer

The prime factorization

Question 10

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

Accepted Answer

positive, 1 negative

Answer

positive, 2 or 0 negative

Answer

0 positive, 1 negative

Answer

What?

Question 11

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

Accepted Answer

4, 2, or 0 positive roots and 0 negative roots

Answer

3 or 1 positive roots and 0 negative roots

Answer

4, 2, or 0 positive roots and 1 negative root

Answer

What?

Question 12

Use the rational root theorem to state ALL possible roots

Accepted Answer

Plus or Minus:5, 1, 1/2, and 5/2

Answer

Plus or Minus: 5, 1 and 1/2

Answer

Only positive: 5 and 1

Answer

Only negative: 5, 1, 1/2, and 5/2

Question 13

Use the rational root theorem to state all possible roots

Accepted Answer

Plus and Minus:1,1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/5, 3/10, 6, and 6/5

Answer

Only positive: Don't pick this, u should know its plus and minus by now

Answer

Only negative: see option 2

Answer

Plus and Minus: 1, 1/2, 1/5, 1/10, 2, 2/5, 3, 3/2, 3/10, and 6

Question 14

How many possible negatives solutions does the following polynomial have? f(x) = x⁴ - 3x³ - 17x² + 39x -20

Accepted Answer

1

Answer

3 or 1

Answer

3

Answer

2 or 0

Solving Polynomials

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