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Polynomials — Practice Quiz

Gujarat Board · Class 9 · Mathematics

Try a 4-question quiz on Polynomials for Gujarat Board Class 9 Mathematics: tap an answer to check it and see why. 45 questions in the full chapter test.

45 questions30 flashcards4 formulas & key relations5 concepts

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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
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Quick Quiz: Polynomials

0/4

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

1

Find the value of the polynomial p(x) = 2x² - 3x + 1 when x = 2.

2

Calculate (x + 3)² using the algebraic identity.

3

If p(x) = x³ - 4x + 1, find p(-1).

4

Factor the polynomial x² - 9 completely.

45 Questions·
multiple choicemultiple correcttext answertrue false

Sample Questions

1multiple correct

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

Show answer

x = 2, x = 3

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

2text answer

What is the degree of the polynomial 3x⁴ - 2x² + 7x - 5?

3multiple correct

Which of the following expressions are polynomials?

Show answer

3x² + 2x - 1, 5x³ - x + 7

Step 1: A polynomial must have only non-negative integer exponents Step 2: 3x² + 2x - 1 has exponents 2, 1, 0 (all non-negative integers) ✓ Step 3: x⁻¹ + 2 has a negative exponent (-1) ✗ Step 4: 5x³ - x + 7 has exponents 3, 1, 0 (all non-negative integers) ✓ Step 5: √x + 3 = x^(1/2) + 3 has fractional exponent (1/2) ✗

4true false

The statement 'Every linear polynomial has exactly one zero' is:

Show answer

True

Step 1: A linear polynomial has the form ax + b where a ≠ 0 Step 2: To find its zero, set ax + b = 0 Step 3: Solving: ax = -b, so x = -b/a Step 4: Since a ≠ 0, there is exactly one solution Step 5: Therefore, every linear polynomial has exactly one zero

+41 more questions on Polynomials (Gujarat Board Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Polynomials for Gujarat Board Class 9 Mathematics?
Key topics in Polynomials include Polynomials in One Variable – Definitions and Classification, Zeroes of a Polynomial, Remainder Theorem, Factor Theorem and Factorisation of Polynomials. Study these first, then practise questions on each for Class 9 exams.
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.

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All Gujarat Board Class 9 Mathematics Practice Quiz

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