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Important Questions

Polynomials And Equations

Kerala Board · Class 10 · Mathematics

Most important questions from Polynomials And Equations for Kerala Board Class 10 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

44 questions20 flashcards5 concepts

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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.

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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.
How many important questions are there in Polynomials And Equations?
There are 44 practice questions available for Polynomials And Equations. These cover multiple question types including MCQs, short answer, and long answer questions.

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

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