Question

The greatest Index of a variable in the polynomial 3x²+4x is ________.​

Answer 1

Answer:

The index of this polynomial is '2'...

Step-by-step explanation:

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Answer 2

Given,

A polynomial 3x²+4x.

To find,

The greatest index of a  polynomial 3x²+4x?

Solution,

A polynomial's index or degree is the greatest or the largest power of a variable in an equation that is polynomial. The degree represents the highest exponential power in the polynomial after ignoring the coefficients.

In the polynomial 3x²+4x, we can see that variable x which is in multiplication with 4 has power 1 while 2 is the power of variable x that is in multiplication with coefficient 3.

Therefore, the index of the polynomial  3x²+4x is 2 as 2 is the highest degree of the polynomial.