Chapter 3 (Balbharati) · Class 9 Maharashtra SSC · MCQ Test
Polynomials (बहुपद) MCQ Test — Class 9 Maharashtra SSC
Practice 10 multiple-choice questions with instant answer reveal and explanations.
Polynomials (बहुपद) — MCQ Questions
1What is the degree of the polynomial $5x^3 + 4x^2 - 7$?
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Answer: 3
Hint: The degree is the highest power of the variable in the polynomial.
Solution:
The terms are $5x^3$, $4x^2$, and $-7$.
The highest power of $x$ is 3. — \text{Degree} = 3
2Which of the following is a monomial?
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Answer: $3x^2$
Hint: A monomial has only one term.
Solution:
A monomial is a polynomial with exactly one term.
$3x^2$ is a single term, so it is a monomial.
3The zero of the polynomial $p(x) = 2x - 6$ is:
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Answer: $3$
Hint: Set $p(x) = 0$ and solve for $x$.
Solution:
Set $2x - 6 = 0$:
$2x = 6$ — x = 3
4A polynomial of degree 2 is called a:
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Answer: Quadratic polynomial
Hint: Think about the prefix 'quad' relating to the number 2.
Solution:
Degree 1 = Linear, Degree 2 = Quadratic, Degree 3 = Cubic.
5What is $p(2)$ if $p(x) = x^2 - 3x + 2$?
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Answer: 0
Hint: Substitute $x = 2$ into the polynomial.
Solution:
$p(2) = (2)^2 - 3(2) + 2$
$= 4 - 6 + 2$ — = 0
6The coefficient of $x^2$ in the polynomial $4x^3 - 5x^2 + 7x - 1$ is:
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Answer: $-5$
Hint: Look for the number multiplying $x^2$.
Solution:
The $x^2$ term is $-5x^2$.
So the coefficient of $x^2$ is $-5$.
7Which of the following is a zero of $p(x) = x^2 - 4$?
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Answer: $2$
Hint: Substitute each option and check which gives $p(x) = 0$.
Solution:
$p(2) = (2)^2 - 4 = 4 - 4 = 0$
So $x = 2$ is a zero of $p(x)$.
8The value of the polynomial $p(x) = 5x - 4x^2 + 3$ at $x = 0$ is:
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Answer: 3
Hint: Substituting $x = 0$ makes all terms with $x$ vanish.
Solution:
$p(0) = 5(0) - 4(0)^2 + 3 = 0 - 0 + 3$ — = 3
9How many terms are in the polynomial $3x^4 - 2x^3 + x - 7$?
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Answer: 4
Hint: Count each distinct term separated by + or -.
Solution:
The terms are: $3x^4$, $-2x^3$, $x$, and $-7$.
There are 4 terms.
10The zero of the polynomial $p(x) = 3x + 9$ is:
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Answer: $-3$
Hint: Set $3x + 9 = 0$ and solve for $x$.
Solution:
$3x + 9 = 0$
$3x = -9$ — x = -3
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Tips for Polynomials (बहुपद) MCQs
- 1Read each question carefully and identify what is being asked before looking at the options.
- 2Try to solve the problem mentally or on paper first, then match your answer with the options.
- 3Use elimination — rule out clearly wrong options to improve your chances even when unsure.
- 4Check units, signs, and edge cases — these are common traps in Polynomials (बहुपद) MCQs.
- 5Review your mistakes after completing the test to build lasting understanding.
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