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Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

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Write the degree of each of the following polynomials.

5
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Find the least number which must be subtracted from the following numbers to make them a perfect square: 

4401624

[5] Squares and Square Roots
Chapter: [5] Squares and Square Roots
Concept: undefined >> undefined

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Write the degree of each of the following polynomials.

20x3 + 12x2y2 − 10y2 + 20
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Which of the following expressions are not polynomials?

 x2 + 2x−2

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Which of the following expressions are not polynomials?

\[\sqrt{ax} + x^2 - x^3\]
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Which of the following expressions are not polynomials?

3y3 −\[\sqrt{5}y\]
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Which of the following expressions are not polynomials?

 ax1/2 + ax + 9x2 + 4
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Express each of the following product as a monomials and verify the result for x = 1, y = 2:
(−xy3) × (yx3) × (xy)

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Which of the following expressions are not polynomials?

3x−2 + 2x−1 + 4x +5
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Express each of the following product as a monomials and verify the result for x = 1, y = 2: \[\left( \frac{1}{8} x^2 y^4 \right) \times \left( \frac{1}{4} x^4 y^2 \right) \times \left( xy \right) \times 5\]

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Express each of the following product as a monomials and verify the result for x = 1, y = 2:

\[\left( \frac{2}{5} a^2 b \right) \times \left( - 15 b^2 ac \right) \times \left( - \frac{1}{2} c^2 \right)\]
[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Write each of the following polynomials in the standard form. Also, write their degree.

x2 + 3 + 6x + 5x4

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Write each of the following polynomials in the standard form. Also, write their degree.

 a2 + 4 + 5a6

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Write each of the following polynomials in the standard form. Also, write their degree.

(x3 − 1)(x3 − 4)

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Express each of the following product as a monomials and verify the result for x = 1, y = 2: \[\left( - \frac{4}{7} a^2 b \right) \times \left( - \frac{2}{3} b^2 c \right) \times \left( - \frac{7}{6} c^2 a \right)\]

[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Write each of the following polynomials in the standard form. Also, write their degree.

(y3 − 2)(y3 + 11)

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Write each of the following polynomials in the standard form. Also, write their degree.

\[\left( a^3 - \frac{3}{8} \right)\left( a^3 + \frac{16}{17} \right)\]
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Express each of the following product as a monomials and verify the result for x = 1, y = 2:

\[\left( \frac{4}{9}ab c^3 \right) \times \left( - \frac{27}{5} a^3 b^2 \right) \times \left( - 8 b^3 c \right)\]

 
[8] Algebraic Expressions and Identities
Chapter: [8] Algebraic Expressions and Identities
Concept: undefined >> undefined

Write each of the following polynomials in the standard form. Also, write their degree.

\[\left( a + \frac{3}{4} \right)\left( a + \frac{4}{3} \right)\]
[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined

Divide 6x3y2z2 by 3x2yz.

[12] Factorization
Chapter: [12] Factorization
Concept: undefined >> undefined
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