Welcome to our detailed guide on Class 10 Math Unit 1 Solved Notes with MCQs. In this exercise, we focus on the Factorization Method for solving quadratic equations. This method is used to split the middle term and find the values of 'x'.
Standard Form: ax² + bx + c = 0
Exercise 1.1 - Solutions
Solution:
1. Factors of 6 that add up to 5 → 2 and 3
2. x² + 2x + 3x + 6 = 0
3. x(x + 2) + 3(x + 2) = 0
4. (x + 2)(x + 3) = 0
Final Answer: x = -2, -3
Solution:
1. Factors of -12 that add up to 1 → 4 and -3
2. x² + 4x - 3x - 12 = 0
3. x(x + 4) - 3(x + 4) = 0
4. (x - 3)(x + 4) = 0
Final Answer: x = 3, -4
Solution:
1. Factors of 10 that add up to -7 → -5 and -2
2. x² - 5x - 2x + 10 = 0
3. x(x - 5) - 2(x - 5) = 0
4. (x - 5)(x - 2) = 0
Final Answer: x = 5, 2
Solution:
1. Factors of 15 that add up to 8 → 3 and 5
2. x² + 3x + 5x + 15 = 0
3. x(x + 3) + 5(x + 3) = 0
4. (x + 3)(x + 5) = 0
Final Answer: x = -3, -5
Solution:
1. Factors of -15 that add up to -2 → 3 and -5
2. x² + 3x - 5x - 15 = 0
3. x(x + 3) - 5(x + 3) = 0
4. (x - 5)(x + 3) = 0
Final Answer: x = 5, -3
📝 Unit 1 Practice Quiz
1. What are the roots of x² + 7x + 12 = 0?
a) -3, -4
b) 3, 4
Check Correct Answer
Answer: a) -3, -4
💡 Important Tips for Students
Always ensure the equation is in standard form before factorizing.
If factors are hard to find, use the Quadratic Formula:
