RBSE Class 8 Maths Important Questions Chapter 14 Factorization

Rajasthan Board RBSE Class 8 Maths Important Questions Chapter 14 Factorization Important Questions and Answers.

Rajasthan Board RBSE Solutions for Class 8 Maths in Hindi Medium & English Medium are part of RBSE Solutions for Class 8. Students can also read RBSE Class 8 Maths Important Questions for exam preparation. Students can also go through RBSE Class 8 Maths Notes to understand and remember the concepts easily. Practicing the class 8 maths chapter 6 try these solutions will help students analyse their level of preparation.

RBSE Class 8 Maths Chapter 14 Important Questions Factorization

Multiple Choice Questions:

Question 1.
Correct identity is:
(a) (x + a)(x + b) = x + (a - b)x2 + ab
(b) (x + a)(x + b) = x2 + (a + b)x2 + ab
(c) (x + a)(x + b) = x2 + (a - b)x - ab
(d) (x + a)(x + b) = x2 + (a)x - ab
Answer:
(b) (x + a)(x + b) = x2 + (a + b)x2 + ab

Question 2.
Square of (2x + 3) will be:
(a) 4x2 + 6x + 9
(b) 4x2 + 2x + 9
(c) 4x2 + 12x + 9
(d) 4x2 + 9
Answer:
(c) 4x2 + 12x + 9

RBSE Class 8 Maths Important Questions Chapter 14 Factorization

Question 3.
Square of (6x + 1) will be:
(a) 36x2 +1
(b) 36x2 + 6x + 1
(c) 36x2 + 6
(d) 36x2 + 12x + 1
Answer:
(d) 36x2 + 12x + 1

Question 4.
Product of (2a - 3) (2a + 3) is:
(a) 4a2 + 2a + 9
(b) 4a2 - 9
(c) 4a2 - 6
(d) 4a2 - 4a + 9
Answer:
(b) 4a2 - 9

Question 5.
Common factor of 6x + 18xy is:
(a) y
(b) 6y
(c) 6x
(d) xy
Answer:
(c) 6x

Question 6.
Factorisation of 2x3 + x2 + 2x + 1 is:
(a) (2x +1)(x2 + 1)
(b) (x2 + 2)(x + 1)
(c) (x + 2)(x2 + 1)
(d) (x2 + 1)(x +1)
Answer:
(a) (2x +1)(x2 + 1)

RBSE Class 8 Maths Important Questions Chapter 14 Factorization

Question 7.
Factorisation of 4x2 + 8xy + 4y2 is:
(a) (2x + 2y)2
(b) (2x - 2y)2
(c) (2x + y)2
(d) (x + 2y)2
Answer:
(a) (2x + 2y)2

Question 8.
Correct value of x2 - y2 is:
(a) (x + y)(x2 + y2)
(b) (x + y)(x - y)
(c) (x - y)(x2 - y2)
(d) (x - y)(x - y)
Answer:
(b) (x + y)(x - y)

Fill in the blanks:

Question 1.
Equation, which is true for all values of variables is called ___________
Answer:
identity

Question 2.
(x + a) (x + b) = x2 + (______)x + (______)
Answer:
(a + b), ab

Question 3.
a2 - b2 = (______ ) × (a - b)
Answer:
(a + b)

Question 4.
(x - 1) (x + 1) = ___________
Answer:
x2 - 1.

Very Short Answer Type Questions:

Question 1.
Find the value of 2x(2x2 + 2x - 9).
Answer:
2x (2x2 + 2x - 9)
= 2x x 2x2 + 2x x 2x - 2x x 9
= 4x3 + 4x2 - 18x

RBSE Class 8 Maths Important Questions Chapter 14 Factorization

Question 2.
Simplify (x + 2) (x + 3).
Answer:
(x + 2) (x + 3)
= x2 + (2 + 3)x + 2 × 3
= x2 + 5x + 6

Question 3.
Factorise (2x + a) and (2x - a).
Answer:
(2x + a) (2x - a)
= (2x)2 - (a)2
= 4x2 - a2

Question 4.
If x2 + \(\frac{1}{x^{2}}\) = 62 then find (x + \(\frac{1}{x}\)).
Answer:
x2 + \(\frac{1}{x^{2}}\)} = 62
(adding 2 on both sides)
(x + \(\frac{1}{x}\))2 = 64
(x + \(\frac{1}{x}\)) = \sqrt{64}
(x + \(\frac{1}{x}\)) = 8

Question 5.
If x + y = 20, xy = 34 then find x2 + y2.
Answer:
(x + y)2 = x2 + 2xy + y2
(20)2 = (x2 + y2) + 2 × 34
400 = x2 + y2 + 68
x2 + y2 = 400 - 68 = 332

Question 6.
Factorise 2(x + y) + 3(x + y) + 5(x + y).
Answer:
2(x + y) + 3(x + y) + 5(x + y)
= (x + y) (2 + 3 + 5)
= 10 (x + y)

RBSE Class 8 Maths Important Questions Chapter 14 Factorization

Question 7.
Factorise 3x3 + 3x2 + x + 1.
Answer:
3x3 + 3x2 + x + 1
= 3x2 (x + 1) + 1 (x + 1)
= (3x2 + 1) (x + 1)

Prasanna
Last Updated on May 19, 2022, 10:42 a.m.
Published May 19, 2022