Skip to main content
Chapter 2 of 14
Practice Quiz

Polynomials — Practice Quiz

Gujarat Board · Class 10 · Mathematics

Try a 4-question quiz on Polynomials for Gujarat Board Class 10 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions28 flashcards10 formulas & key relations5 concepts

Interactive on Super Tutor

Studying Polynomials? Get the full interactive chapter.

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

Free trial, no card needed.

A labeled diagram illustrating the general form of a polynomial, distinguishing between real and complex polynomials by highlighting the nature of coefficients and variables. Also includes the definit
Super Tutor

One of 6 illustrations for Polynomials in Super Tutor — alongside flashcards, concept maps and practice questions.

Quick Quiz: Polynomials

0/4

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

1

Find the degree of the polynomial 3x⁴ - 2x² + 7x - 5.

2

If p(x) = 2x² - 5x + 3, find the value of p(2).

3

For the quadratic polynomial 2x² + 7x + 3, find the sum of its zeros.

4

Find the product of zeros of the polynomial 3x² - 4x - 7.

45 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct

Which of the following are zeros of the polynomial p(x) = x² - 5x + 6?

Show answer

x = 2, x = 3

To find zeros, set p(x) = 0: Step 1: x² - 5x + 6 = 0 Step 2: Factor: (x - 2)(x - 3) = 0 Step 3: Therefore x = 2 or x = 3 Verification: p(2) = 4 - 10 + 6 = 0 ✓, p(3) = 9 - 15 + 6 = 0 ✓

2multiple choice

If the zeros of the quadratic polynomial x² + px + q are 3 and -2, find the value of p.

Show answer

-1

Step 1: Sum of zeros = 3 + (-2) = 1 Step 2: For x² + px + q, sum of zeros = -p/1 = -p Step 3: Therefore, -p = 1, so p = -1 Verification: If p = -1, the polynomial is x² - x + q, and its zeros should sum to 1, which matches 3 + (-2) = 1 ✓

3multiple correct

Which of the following expressions represent quadratic polynomials?

Show answer

2x² + 3x - 1, -x² + 4, x² - 2x + 3x²

A quadratic polynomial has degree 2 (highest power of x is 2): • 2x² + 3x - 1: degree 2 ✓ • x³ + 2x² - 5: degree 3 ✗ • 5x + 7: degree 1 ✗ • -x² + 4: degree 2 ✓ • x² - 2x + 3x² = 4x² - 2x: degree 2 ✓

4multiple choice

If one zero of the polynomial 2x² + 3x + k is -1, find the value of k.

Show answer

1

If x = -1 is a zero, then p(-1) = 0 Step 1: Substitute x = -1 in 2x² + 3x + k Step 2: 2(-1)² + 3(-1) + k = 0 Step 3: 2(1) - 3 + k = 0 Step 4: 2 - 3 + k = 0 Step 5: -1 + k = 0 Step 6: k = 1

+41 more questions on Polynomials (Gujarat Board Class 10 Mathematics)

Practise All

Frequently Asked Questions

What are the important topics in Polynomials for Gujarat Board Class 10 Mathematics?
Key topics in Polynomials include Types of Polynomials – A Quick Recall, Zeroes of a Polynomial, Geometrical Meaning of Zeroes of a Polynomial, Relationship Between Zeroes and Coefficients of a Quadratic Polynomial. Study these first, then practise questions on each for the Gujarat Board Class 10 board exam.
How many practice questions are there for Polynomials?
There are 45 questions on Polynomials. 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.

For serious students

Get the full Polynomials chapter — start free.

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