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

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

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

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

x² + 3 + 6x + 5x⁴

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

 a² + 4 + 5a⁶

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

(x³ − 1)(x³ − 4)

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

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

(y³ − 2)(y³ + 11)

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

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

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

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

Simplify:\[\frac{16 m^3 y^2}{4 m^2 y}\]

Simplify:\[\frac{32 m^2 n^3 p^2}{4mnp}\]

Divide \[y^4 - 3 y^3 + \frac{1}{2} y^2 by 3y\]