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

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Answer 1 · 2018-05-29T01:42:02

$\Rightarrow 15 x^{3} - x^{2} - x + 3$ $color(green)(=> 15x^3 - x^2 - x + 3$ is the standard form.

Degree of polynomial $: 3$ $color(maroon)( : 3$

Number of terms $: 4$ $color(maroon)( : 4$

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

$\Rightarrow 12 x^{3} + 3 x^{3} + 5 x^{2} - 6 x^{2} - x + 5 - 2$ $=> 12x^3 + 3x^3 + 5x^2 - 6x^2 - x +5 - 2$

$\Rightarrow 15 x^{3} - x^{2} - x + 3$ $color(green)(=> 15x^3 - x^2 - x + 3$ is the standard form.

Degree of polynomial $: 3$ $color(maroon)( : 3$

Number of terms $: 4$ $color(brown)( : 4$

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-x12x3+5+5x2−6x2+3x3−2−x 12x^3+5+5x^2-6x^2+3x^3-2-x?