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Test: Factorisation of Polynomials - Class 9 MCQ


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10 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Factorisation of Polynomials

Test: Factorisation of Polynomials for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Factorisation of Polynomials questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Factorisation of Polynomials MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Factorisation of Polynomials below.
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Test: Factorisation of Polynomials - Question 1

Which of the following are the factors of a2 + ab +bc + ca

Detailed Solution for Test: Factorisation of Polynomials - Question 1

Factors of a2 + ab + bc + ca

Step 1: Factor out common terms

Given expression: a2 + ab + bc + ca

= a(a + b) + c(b + a)

= a(a + b) + c(a + b)

Step 2: Factor by grouping

= (a + c)(a + b)

Therefore, the factors of a2 + ab + bc + ca are (a + c)(a + b).

Test: Factorisation of Polynomials - Question 2

Factoring 3x2-5x+2

Detailed Solution for Test: Factorisation of Polynomials - Question 2




Correct answer is A.

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Test: Factorisation of Polynomials - Question 3

The number of zeros of x2 + 4x + 2      

Test: Factorisation of Polynomials - Question 4

Factorise by splitting the middle term 2x- 11x + 12

Detailed Solution for Test: Factorisation of Polynomials - Question 4

Test: Factorisation of Polynomials - Question 5

The volume of cuboid is given by the expression x3+2x2-x-2. The dimension of the cuboid for x = 5 is:​

Detailed Solution for Test: Factorisation of Polynomials - Question 5

Test: Factorisation of Polynomials - Question 6

Expansion of 2x(x + 2y) + 3x(2x - 3y) yields

Detailed Solution for Test: Factorisation of Polynomials - Question 6

The given expression is 2x(x + 2y) + 3x(2x - 3y).
To expand this expression, we distribute the terms inside the brackets:
1. 2x(x + 2y) = 2x² + 4xy
2. 3x(2x - 3y) = 6x² - 9xy
Adding the two results together we get:
2x² + 4xy + 6x² - 9xy = 8x² - 5xy
Therefore, the correct expansion of the expression is 8x² - 5xy, which matches option A.

Test: Factorisation of Polynomials - Question 7

What are the two factors of quadratic polynomial x2-16x+64?

Detailed Solution for Test: Factorisation of Polynomials - Question 7

Test: Factorisation of Polynomials - Question 8

Factorise the quadratic polynomial by splitting the middle term:
x2 + 14x + 45

Detailed Solution for Test: Factorisation of Polynomials - Question 8

The two numbers that add up to 14, and multiply to 45 and 9 and 5.

(x+5)(x+9)

Test: Factorisation of Polynomials - Question 9

Factorize the quadratic polynomial by splitting the middle term: y2 – 4 y –21​

Detailed Solution for Test: Factorisation of Polynomials - Question 9

y2 – 4 y –21​
 y2 – 7 y + 3 y –21​
 y (y – 7) – 3 (y – 7)
(y –​ 7) (y – 3)

Test: Factorisation of Polynomials - Question 10

What is the value of p if x-2 is a factor of x2 – 6x + p ?

Detailed Solution for Test: Factorisation of Polynomials - Question 10

P(x) = ×- 6×+p
p (2)= (2)2-6 (2) +p
4- 12 + p = 0
-8 + p = 0
p = 8 
 

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