Polynomial Numbers and names

Question

Polynomial Standard Form Degree Leading

Coefficient

1. 3-2x+x²

2. 952x⁷

3. 5x²-3x⁴+25x³

I don’t understand which one is highest Exponent and which one is Standard Form.

Standard Form is the Highest exponent,

Degree is also the Highest Exponent and the leading coefficient is the 1st number that is front of the Highest exponent

Answer 1

The standard form is when the terms are SORTED

in DECREASING order of exponent.

Here are the standard forms of the polynomials you

have shown.

1) x^2 - 2x + 3

2) 952x^7

3) -3x^4 + 25x^3 + 5x^2

Here are the degrees:

1) degree=2

2) degree=7

3) degree=4

Here are the Leading Coefficients:

1) 1

2) 952

3) -3

note that if there is NO coefficient

number, then it is understood and

assumed to be 1, as is the case

with the 1st polynomial leading

coefficient is 1