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Polynomials

Gujarat Board · Class 9 · Mathematics

Practice quiz for Polynomials — Gujarat Board Class 9 Mathematics. MCQs and questions with answers to test your preparation.

45 questions30 flashcards5 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

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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

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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 Decision tree to identify whether an expression is a polynomial based on exponents and coefficients, Breaking down a polynomial into its constituent parts showing terms, coefficients, and degree, Mind map showing polynomial classification by number of terms. These are the concepts Gujarat Board Class 9 examiners draw on most — study them first, then practise related questions.
How to score full marks in Polynomials — Gujarat Board Class 9 Mathematics?
Understand the core concepts first, then work through the 45 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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