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The expression 6x-5x^(2)-3x^(2) y is...

The expression `6x-5x^(2)-3x^(2) y `is

A

monomial

B

binomial

C

trinomial

D

none of these

Text Solution

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The correct Answer is:
To determine the type of algebraic expression given by `6x - 5x^2 - 3x^2y`, we will analyze the expression step by step. ### Step 1: Identify the expression The expression we are working with is: \[ 6x - 5x^2 - 3x^2y \] ### Step 2: Count the number of terms Next, we will count how many distinct terms are present in the expression. A term is a part of the expression that is separated by a plus (+) or minus (-) sign. - The first term is \( 6x \). - The second term is \( -5x^2 \). - The third term is \( -3x^2y \). So, we have: 1. \( 6x \) 2. \( -5x^2 \) 3. \( -3x^2y \) ### Step 3: Determine the type of expression Now that we have identified the three terms, we can classify the expression based on the number of terms: - A **monomial** has 1 term. - A **binomial** has 2 terms. - A **trinomial** has 3 terms. Since our expression has 3 terms, we classify it as a **trinomial**. ### Final Answer The expression \( 6x - 5x^2 - 3x^2y \) is a **trinomial**. ---
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