Factoring Quadratics: A Step-by-Step Approach

Factoring Quadratics: A Step-by-Step Approach

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Liam Anderson

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the factors of a quadratic equation that results in a product of 10 and a sum of 3?

x + 5 and x - 2

x + 3 and x - 3

x + 10 and x - 1

x + 2 and x - 5

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What values of x satisfy the equation x + 5 = 0?

x = 10

x = 0

x = -5

x = 5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a quadratic equation is set to zero, what is the next step to find the solutions?

Multiply the factors

Add the factors

Subtract the factors

Set each factor equal to zero

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions when the factors are x + 1 and x + 3?

x = 0 and x = 2

x = 1 and x = 3

x = -2 and x = -4

x = -1 and x = -3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the sign of the solutions in a factored quadratic equation?

Multiply the constants in the factors

Change the sign of the constants in the factors

The sign is always negative

The sign is always positive

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solutions for the factors x - 3 and x - 7?

x = -10 and x = -21

x = 10 and x = 21

x = -3 and x = -7

x = 3 and x = 7

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when the factor x - 4 is set to zero?

x = -4

x = 8

x = 0

x = 4

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