# Algebric Equations Factor Quiz

Approved & Edited by ProProfs Editorial Team
The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.
| By Alfredhook3
A
Alfredhook3
Community Contributor
Quizzes Created: 2962 | Total Attempts: 2,246,435
Questions: 10 | Attempts: 331

Settings

In Mathematics, factorisation or factoring is defined as breaking or decomposition of entire number, matrix, a polynomial) into a product of another entity, or factors, which when multiplied give the original number or a matrix, etc.
Learn how to factor algebric equations in this quiz!

• 1.

### Find the factors for the following equation: -6x2 - 3x + 6

• A.

7 and 21

• B.

6 and 18

• C.

2 and 4

A. 7 and 21
Explanation
The factors of the equation -6x^2 - 3x + 6 are 7 and 21 because when these values are multiplied together and added to the other terms in the equation, they result in a sum of zero.

Rate this question:

• 2.

### Find the factors for the following equation: x2 - 4x - 60 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

(x-10)(x+6)
Explanation
The correct answer is (x-10)(x+6). This is because when we factor the equation x^2 - 4x - 60, we need to find two numbers that multiply to give -60 and add up to -4. The numbers -10 and 6 fit this criteria, as -10 * 6 = -60 and -10 + 6 = -4. Therefore, the factors of the equation are (x-10)(x+6).

Rate this question:

• 3.

### Find a, b, and c for the following equation: x2 + 7x + 12 **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

a=1, b=7, c=12
Explanation
The given equation is in the form of ax^2 + bx + c, where a=1, b=7, and c=12.

Rate this question:

• 4.

### Find a, b, and c for the following equation: 9x2 = 4 + 7x **Enter your answers starting with a separated with commas and with no spaces unless after the comma. EX: a=1, b=2, c=3

a=9, b=-7, c=-4
Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c = 0. In order to find the values of a, b, and c, we can compare the given equation with the standard form of a quadratic equation. By comparing the coefficients of x^2, x, and the constant term, we can determine that a = 9, b = -7, and c = -4.

Rate this question:

• 5.

### Find the factors for the following equation: x2 - 11x + 24 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

(x-8)(x-3)
Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c. To find the factors, we need to factorize the quadratic equation. The factors of the equation x^2 - 11x + 24 are (x-8)(x-3).

Rate this question:

• 6.

### Find the factors for the following equation: 6x2 - 5x - 4 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

(3x-4)(2x+1)
Explanation
The given equation is a quadratic equation in the form of ax^2 + bx + c. To find the factors, we need to factorize the equation into two binomial expressions. The factors of the equation 6x^2 - 5x - 4 are (3x - 4) and (2x + 1).

Rate this question:

• 7.

### Find the factors for the following equation: 6x2 + 7x - 49 **Enter your answers with no spaces and with the smaller factor first. EX: (x-2)(x+1)

(3x−7)(2x+7)
Explanation
The given equation 6x^2 + 7x - 49 can be factored as (3x - 7)(2x + 7).

Rate this question:

• 8.

### Find the factors of the following equation: 2x2 + 3x - 20

• A.

Option 1

• B.

Option 2

• C.

Option 3

B. Option 2
Explanation
The factors of the equation 2x^2 + 3x - 20 can be found by factoring the equation. Option 2 is the correct answer because it provides the correct factors of the equation.

Rate this question:

• 9.

### 2 + 2x - 5 = 0. Solve for x.

• A.

2

• B.

5

• C.

0

• D.

1.5

D. 1.5
Explanation
To solve the equation 2 + 2x - 5 = 0, we need to isolate the variable x. First, we combine like terms by adding 2 and -5, which gives us 2x - 3 = 0. Then, we add 3 to both sides of the equation to get rid of the -3, resulting in 2x = 3. Finally, we divide both sides of the equation by 2 to solve for x, which gives us x = 1.5.

Rate this question:

• 10.

### If 1/x is infinity, what is x?

• A.

0

• B.

1

• C.

1/2

• D.

None of the above

A. 0
Explanation
If 1/x is infinity, it means that x must be 0. This is because any number divided by 0 is undefined, and therefore the only value that can make the expression 1/x equal to infinity is when x equals 0.

Rate this question:

Related Topics