Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `12x^3 + 5 + 5x^2- 6x^2- 3x^3 - 9 - x`?

Answer 1

`color(green)("Degree of polynomial " - 3`

`color(green)("No. of terms " - 4`

Explanation:

`12x^3 + 5 + 5x^2 -6x^2 - 3x^3 -9 - x`

`12x^3 - 3x^3 + 5x^2 - 6x^2 - x - 9 + 5, color(purple)(" rearranging like terms together and in the decreasing order of the exponant"`

`9x^3 - x^2 - x - 4, color(purple)(" simplifying"`

`color(green)("Degree of polynomial " - 3`

`color(green)("No. of terms " - 4`