Skip to main content
Super TutorResources
Chapter 4 of 13
Practice Quiz

Polynomials And Equations — Practice Quiz

Kerala Board · Class 10 · Mathematics

Try a 4-question quiz on Polynomials And Equations for Kerala Board Class 10 Mathematics: tap an answer to check it and see why.

44 questions20 flashcards7 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Polynomials And Equations? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for practice quiz and more.

Try Super Tutor — Free

Free trial, no card needed.

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)

Show answer

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).

Show answer

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?

Show answer

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.

+40 more questions on Polynomials And Equations (Kerala Board Class 10 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Polynomials And Equations for Kerala Board Class 10 Mathematics?
Key topics in Polynomials And Equations include Polynomial Multiplication, Polynomial Factorization, Solving Quadratic Equations by Factorization, Quadratic Formula (General Solution). Study these first, then practise questions on each for the Kerala Board Class 10 board exam.
How many practice questions are there for Polynomials And Equations?
There are 44 questions on Polynomials And Equations. Try the 4-question sample quiz on this page first; each answer shows an explanation when you tap it.

Sources & Official References

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

More resources for Polynomials And Equations

All Kerala Board Class 10 Mathematics Practice Quiz

For serious students

Get the full Polynomials And Equations chapter — start free.

Quizzes, flashcards, an AI doubt solver and a study plan for Kerala Board Class 10 Mathematics. Free to start, no card needed.

Try Super Tutor Free
Try this chapter free