Question

Which of the following is the numerical coefficient of x²y²? (1) 0 (II) 1 (III) x² (IV) y²

Answer 1

Answer:

(II) 1

1 is the numerical coefficient of x2y2 as there are no numbers here so it will be one. And option (III) AND (IV) are literal coefficients.

Hope this helps you.

Answer 2

(II) 1

The numerical coefficient of x²y² is 1.

Explanation:

• For any term, the constant value which is associated with the variable expression, is called the coefficient.

• Here, x²y² can be written as 1 × x²y² and since x and y are variables, 1 is the coefficient here.

Let us take more terms:

If we take an expression 3xy + 3x + 6y, then the coefficient of xy is 3, that of x is 3 and that of y is 6.

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Write the coefficient of x² in the expansion of (x-2)³.

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Find the coefficient of x⁵ in the expansion of

(1 - x)⁵ (1 + x + x² + x³)⁴.

Hint: Binomial Theorem

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