# 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^3-2-x?

May 29, 2018

color(green)(=> 15x^3 - x^2 - x + 3 is the standard form.

Degree of polynomial color(maroon)( : 3

Number of terms color(maroon)( : 4

#### Explanation:

$12 {x}^{3} + 5 + 5 {x}^{2} - 6 {x}^{2} + 3 {x}^{3} - 2 - x$

$\implies 12 {x}^{3} + 3 {x}^{3} + 5 {x}^{2} - 6 {x}^{2} - x + 5 - 2$

color(green)(=> 15x^3 - x^2 - x + 3 is the standard form.

Degree of polynomial color(maroon)( : 3

Number of terms color(brown)( : 4