Lesson Example Discussion Quiz: Class Homework |
Step-2 |
Title: Quadratic-Equations and Factors |
Grade: 1300-a Lesson: S2-L1 |
Explanation: Hello Students, time to practice and review the steps for the problem. |
Lesson Steps
| Step | Type | Explanation | Answer |
|---|---|---|---|
1 |
Problem |
Factorize the quadratic expression: \$3x^2 - 10x - 8 \$. |
|
2 |
Step |
Take the factors of the above equation |
\$ 3x^2 - 12x + 2x - 8 \$ |
3 |
Step |
Organize the terms into groups and extract the largest common factor |
\$ (3x^2 - 12x) + (2x - 8) \$ ⇒ \$3x(x - 4) + 2(x - 4)\$ |
4 |
Step |
Observe the shared binomial factor (x - 4) present in both expressions. |
|
5 |
Hint |
Combine the terms by finding and using the common factor |
\$(x - 4)(3x + 2)\$ |
6 |
Step |
The quadratic expression \$3x^2 - 10x - 8\$ is fully factorized as \$(x - 4)(3x + 2)\$. |
|
7 |
Choice.A |
This is correct because the expanded form corresponds accurately with the quadratic equation |
(x - 4)(3x + 2) |
8 |
Choice.B |
This is incorrect as the expanded form does not correspond to the quadratic equation |
(x - 4)(3x - 2) |
9 |
Choice.C |
This is incorrect as the expanded form does not correspond to the quadratic equation |
(x + 4)(3x + 2) |
10 |
Choice.D |
This is incorrect as the expanded form does not correspond to the quadratic equation |
(x - 4)(3x + 3) |
11 |
Answer |
Option |
A |
12 |
Sumup |
Can you summarize what you’ve understood in the above steps? |
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