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Polynomials And Equations

Kerala Board · Class 10 · Mathematics

Practice quiz for Polynomials And Equations — Kerala Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.

44 questions20 flashcards5 concepts

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Quick Quiz: Polynomials And Equations

0/4

Tap an answer to check it instantly. No sign-up needed for these 4.

1

Find the product (x + 3)(x + 5).

2

Calculate 47 × 43 using polynomial multiplication method.

3

Factorize x² + 9x + 20.

4

Solve the equation x² - 6x + 8 = 0.

44 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are correct factorizations? (Select all that apply)

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x² + 7x + 12 = (x + 3)(x + 4), x² - 5x + 6 = (x - 2)(x - 3), x² + x - 6 = (x + 3)(x - 2), x² + 5x - 6 = (x + 6)(x - 1)

Check each by expanding: (x + 3)(x + 4) = x² + 7x + 12 ✓, (x - 2)(x - 3) = x² - 5x + 6 ✓, (x + 3)(x - 2) = x² + x - 6 ✓, (x + 6)(x - 1) = x² + 5x - 6 ✓. The incorrect option (x - 3)(x + 4) = x² + x - 12, not x² - 7x + 12.

2multiple choice

Find the product (x - 7)(x + 3).

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x² - 4x - 21

Using (x + a)(x + b) = x² + (a + b)x + ab with a = -7 and b = 3: (x - 7)(x + 3) = x² + (-7 + 3)x + (-7)(3) = x² - 4x - 21. The middle term coefficient is -7 + 3 = -4, and the constant term is (-7) × 3 = -21.

3multiple choice

Which equation has roots x = 3 and x = -2?

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x² - x - 6 = 0

If x = 3 and x = -2 are roots, then (x - 3) = 0 and (x + 2) = 0. So the equation is (x - 3)(x + 2) = 0. Expanding: (x - 3)(x + 2) = x² + 2x - 3x - 6 = x² - x - 6 = 0.

4multiple choice

Solve x² + 5x - 14 = 0.

Show answer

x = 2 or x = -7

Step 1: Find two numbers that add to 5 and multiply to -14. Consider factor pairs of 14: (1,14), (2,7). For -14: (7,-2) gives 7 + (-2) = 5 ✓. Step 2: x² + 5x - 14 = (x + 7)(x - 2). Step 3: (x + 7)(x - 2) = 0 gives x + 7 = 0 or x - 2 = 0. Step 4: x = -7 or x = 2.

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Frequently Asked Questions

What are the important topics in Polynomials And Equations for Kerala Board Class 10 Mathematics?
Polynomials And Equations covers several key topics that are frequently asked in Kerala Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Polynomials And Equations — Kerala Board Class 10 Mathematics?
Understand the core concepts first, then work through the 44 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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