Check the below NCERT MCQ Questions for Class 9 Maths Chapter 2 Polynomials with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Polynomials Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.
Students can also refer to NCERT Solutions for Class 9 Maths Chapter 2 Polynomials for better exam preparation and score more marks.
Polynomials Class 9 MCQs Questions with Answers
Question 1.
Find the product of (x – \(\frac{1}{x}\)) (x + \(\frac{1}{x}\)) (x² + \(\frac{1}{x^2}\))
(a) x4 + \(\frac{1}{x^4}\)
(b) x³ + \(\frac{1}{x^3}\) – 2
(c) x4 – \(\frac{1}{x^4}\)
(d) x² + \(\frac{1}{x^2}\) + 2
Answer
Answer: (c) x4 – \(\frac{1}{x^4}\)
Question 2.
If \(\frac{x}{y}\) + \(\frac{y}{x}\) = -1 (x, y ≠ 0), then find the value of x³ – y³
(a) 1
(b) -1
(c) \(\frac{1}{2}\)
(d) 0
Answer
Answer: (d) 0
Question 3.
Find the value of 525² – 475².
(a) 100
(b) 10000
(c) 50000
(d) 100000
Answer
Answer: (c) 50000
Question 4.
One of the factors of (1 + 3y)² + (9y² – 1) is
(a) 1 – 3y
(b) 3 – y
(c) 3y + 1
(d) y – 3
Answer
Answer: (c) 3y + 1
therefore, factors of 18 are 1,2, 3, 6, 9 and 18. How do you find the factors of 18?
Question 5.
One of the factors of (x³ – 1) – (x – 1) is
(a) x² + 1
(b) x² – 1
(c) x – 1
(d) x + 4
Answer
Answer: (c) x – 1
Question 6.
Find the degree of polynomial √2 .
(a) 2
(b) 0
(c) 1
(d) \(\frac{1}{2}\)
Answer
Answer: (b) 0
Question 7.
Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.
(a) 1
(b) -1
(c) 5
(d) 3
Answer
Answer: (c) 5
Question 8.
If x – 2 is a factor of 5x² – kx – 18, then find the value of k.
(a) -1
(b) 1
(c) 0
(d) 5
Answer
Answer: (b) 1
Question 9.
Find the coefficient of x² in (3x² – 5) (4 + 4x²).
(a) 12
(b) 5
(c) -8
(d) 8
Answer
Answer: (c) -8
Question 10.
Find the value of p for which x + p is a factor of x² + px + 3 – p.
(a) 1
(b) -1
(c) 3
(d) -3
Answer
Answer: (c) 3
Question 11.
Zero of the polynomial p(x) = cx + d is
(a) -d
(b) -c
(c) \(\frac{d}{c}\)
(d) –\(\frac{d}{c}\)
Answer
Answer: (d) –\(\frac{d}{c}\)
Question 12.
Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.
(a) -1
(b) 1
(c) 0
(d) 2
Answer
Answer: (b) 1
Question 13.
One of the factors of (16y² – 1) + (1 – 4y)²
(a) (4 + a)
(b) (4 – y)
(c) (4y + 1)
(d) 8y
Answer
Answer: (d) 8y
Question 14.
If a + b + c = 0, then the value of a³ + b³ + c³
(a) abc
(b) -3abc
(c) 0
(d) 3abc
Answer
Answer: (d) 3abc
Question 15.
If x\(\frac{1}{3}\) + y\(\frac{1}{3}\) + z\(\frac{1}{3}\) = 0, then which one of the expression is correct.
(a) x³ + y³ + z³ = 0
(b) x + y + z = 3x\(\frac{1}{3}\)y\(\frac{1}{3}\)z\(\frac{1}{3}\)
(c) x + y + z = 3xyz
(d) x³ + y³ + z³ = 3xyz
Answer
Answer: (b) x + y + z = 3x\(\frac{1}{3}\)y\(\frac{1}{3}\)z\(\frac{1}{3}\)
Question 16.
If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions.
(a) 2x – 3, 2x + 1
(b) 2x – 1, 2x + 3
(c) 3x + 1, 2x – 3
(d) 3x – 1, 2x + 3
Answer
Answer: (b) 2x – 1, 2x + 3
Question 17.
If x + \(\frac{1}{x}\) = 4, then the value of x² + \(\frac{1}{x^2}\)
(a) 8
(b) 14
(c) 16
(d) 20
Answer
Answer: (b) 14
Synthetic Division Calculator is an online tool that helps to calculate the quotient and the remainder using the synthetic division method.
Question 18.
For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3?
(a) 1
(b) 2
(c) 3
(d) -3
Answer
Answer: (b) 2
Question 19.
When p(x) is divided by ax – b, then the remainder is
(a) p(a + b)
(b) P(\(\frac{-b}{a}\))
(c) p(\(\frac{a}{b}\))
(d) p(\(\frac{b}{a}\))
Answer
Answer: (d) p(\(\frac{b}{a}\))
Question 20.
What is remainder when x³ – 2x² + x + 1 is divided by x – 1?
(a) 0
(b) -1
(c) 1
(d) 2
Answer
Answer: (c) 1
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