Question

Write the coefficient of x2 in the polynomial 5x^4 + 3x^2 + 5.​

Answer 1

The coefficient of $x^{2}$ in the polynomial $5x^{4} + 3x^{2} + 5$ is 3.

What is a coefficient?

The coefficient of the term is the number value of the term. In other words, a number used to multiply a variable is its coefficient.

Examples -

• 6x means 6 times of x, where 6 is the coefficient of x.
• $5x^{2}$ means 5 times of x² where 5 is the coefficient of x².

Answer 2

The coefficient of x² in the polynomial 5x⁴ + 3x² + 5 is 3

Given :

The polynomial 5x⁴ + 3x² + 5

To find :

The coefficient of x² in the polynomial

Concept :

Coefficients :

In a term of an algebraic expression the numerical factor of a term is called coefficients and any of the factors with the sign of the term is called coefficient of the product of the other factors

Solution :

Step 1 of 2 :

Write down the given polynomial

The given polynomial is 5x⁴ + 3x² + 5

Step 2 of 2 :

Find the coefficient of x² in the polynomial

In the above polynomial the term containing x² is 3x²

Now the numerical factor of the term is 3

Hence the required coefficient is 3

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