Question

Name this polynomial by its degree: 3x² + 5x-3

Answer 1

The name is a Quadratic polynomial

Answer 2

`\boxed{\textsf {The given polynomial is a quadratic polynomial. }}`

Explanation:

A polynomial is given to us and we need to make the polynomial by its degree . Here the given polynomial is 3x² + 5x -3 .

`\sf\implies p(x)= 3x^2+5x-3`

So here we can see that the highest power of the variable in the given polynomial is 2 . So the polynomial is a quadratic polynomial .

★ More to Know :-

When we equate this quadratic polynomial with 0 , it becomes a quadratic equation.

That is ,

`\sf\implies p(x)= 3x^2+5x-3=0`

This is done in order to find the zeroes of the polynomial. The zeroes of the polynomial are the values for which the polynomial becomes 0 .