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## Saturday, 20 February 2021

### CBSE Class 9 Maths - MCQ and Online Tests - Unit 2 - Polynomials

#### CBSE Class 9 Maths – MCQ and Online Tests – Unit 2 – Polynomials

Every year CBSE  schools conducts Annual Assessment exams for 6,7,8,9,11th standards. These exams are very competitive to all the students. So our website provides online tests for all the 6,7,8,9,11th standard’s subjects. These tests are also very effective and useful for those who preparing for any competitive exams like Olympiad etc. It can boost their preparation level and confidence level by attempting these chapter wise online tests.

These online tests are based on latest CBSE syllabus. While attempting these our students can identify the weak lessons and continuously practice those lessons for attaining high marks. It also helps to revise the NCERT textbooks thoroughly.

#### CBSE Class 9 Maths – MCQ and Online Tests – Unit 2 – Polynomials

Question 1.
Find the coefficient of x² in (3x² – 5) (4 + 4x²).
(a) 12
(b) 5
(c) -8
(d) 8

Question 2.
One of the factors of (16y² – 1) + (1 – 4y)²
(a) (4 + a)
(b) (4 – y)
(c) (4y + 1)
(d) 8y

Question 3.
One of the factors of (x³ – 1) – (x – 1) is
(a) x² + 1
(b) x² – 1
(c) x – 1
(d) x + 4

Answer: (c) x – 1

Question 4.
Find the degree of polynomial v2 .
(a) 2
(b) 0
(c) 1
(d) $$\frac{1}{2}$$

Question 5.
Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.
(a) 1
(b) -1
(c) 5
(d) 3

Question 6.
If x – 2 is a factor of 5x² – kx – 18, then find the value of k.
(a) -1
(b) 1
(c) 0
(d) 5

Question 7.
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: (c) x4 – $$\frac{1}{x^4}$$

Question 8.
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

Question 9.
For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3?
(a) 1
(b) 2
(c) 3
(d) -3

Question 10.
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

Question 11.
What is remainder when x³ – 2x² + x + 1 is divided by x – 1?
(a) 0
(b) -1
(c) 1
(d) 2

Question 12.
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: (d) p($$\frac{b}{a}$$)

Question 13.
Zero of the polynomial p(x) = cx + d is
(a) -d
(b) -c
(c) $$\frac{d}{c}$$
(d) –$$\frac{d}{c}$$

Answer: (d) –$$\frac{d}{c}$$

Question 14.
Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.
(a) -1
(b) 1
(c) 0
(d) 2

Question 15.
If a + b + c = 0, then the value of a³ + b³ + c³
(a) abc
(b) -3abc
(c) 0
(d) 3abc

Question 16.
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: (b) x + y + z = 3x$$\frac{1}{3}$$y$$\frac{1}{3}$$z$$\frac{1}{3}$$

Question 17.
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: (b) 2x – 1, 2x + 3

Question 18.
Find the value of 525² – 475².
(a) 100
(b) 10000
(c) 50000
(d) 100000

Question 19.
One of the factors of (1 + 3y)² + (9y² – 1) is
(a) 1 – 3y
(b) 3 – y
(c) 3y + 1
(d) y – 3

Answer: (c) 3y + 1

Question 20.
If x + $$\frac{1}{x}$$ = 4, then the value of x² + $$\frac{1}{x^2}$$
(a) 8
(b) 14
(c) 16
(d) 20