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What is the degree of the product ?

Class 8Algebraic Expressions and IdentitiesAlgebra
  • A12
  • B4
  • C7
  • D6

Step-by-Step Solution

First multiply: . The degree of a term is the SUM of its exponents: 3 + 4 = 7. Multiplying the degrees of the two factors (3 and 4) gives 12; taking only the larger factor's degree gives 4; 6 is the coefficient of the product, not its degree.
Answer: C) 7

Key idea: Multiplying a monomial by a polynomial

Use the distributive property — multiply the monomial by EVERY term in the polynomial.

Example: .

When multiplying powers of the same variable: **add the exponents**. .

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