Question

write in standard form

1. 2x² + 1x - 6x³ =
2. -x² + 2x³ =
3. 2x + 4x³ - 2x² =
4. -2x² + 4x - 6x³ =
5. 2x² + 2 - 5x =

Explanation:

Step1: Recall standard - form of a polynomial

The standard form of a polynomial arranges the terms in descending order of the exponent of the variable.

Step2: Rearrange terms for each polynomial

For 5)

$2x^{2}+x - 6x^{3}=-6x^{3}+2x^{2}+x$

For 6)

$-x^{2}+2x^{3}=2x^{3}-x^{2}$

For 7)

$2x + 4x^{3}-2x^{2}=4x^{3}-2x^{2}+2x$

For 8)

$-2x^{2}+4x - 6x^{3}=-6x^{3}-2x^{2}+4x$

For 9)

$2x^{2}+2 - 5x=2x^{2}-5x + 2$

Answer:

1. $-6x^{3}+2x^{2}+x$
2. $2x^{3}-x^{2}$
3. $4x^{3}-2x^{2}+2x$
4. $-6x^{3}-2x^{2}+4x$
5. $2x^{2}-5x + 2$