Question

a polynomial in one variable of degree 4 has at most how many terms by brainly solutions

Answer 1

Answer:

polynomial is a group of terms.

Answer 2

Answer:

The Correct Answer would be 5. A polynomial of degree 4 in one variable would be having 5 terms at most.

Step-by-step explanation:

For a polynomial of degree 4, we'll be having 4 solutions.

Now for example, a polynomial is in degree 2 in one variable. It would look like:

${x}^{2 } + ax + c = 0$

where, a and c are constants.

Similarly, for a polynomial of three degree, we'll be having:

${x}^{3 } + a {x}^{2} + bx + c = 0$

As far as we came, we can eventually see a pattern.

It is that number of terms = Degree of polynomial + 1

Therefore, for degree 2, we have no. of terms = 3 abd for degree 3, we have no. of terms = 4

Hence, accordingly, for degree being 4, we would be having no. of terms = 5

A polynomial in 4 degree would look like:

${x}^{4 } + a {x}^{3} + b {x}^{2 } + cx + d = 0$