# Thread: polynomial expressions in standard form

1. ## polynomial expressions in standard form

Need some help on these 3

1.) x-6-23x to the 2nd power
2.) Y to the 3rd power - 7y+8+3y to the 3rd power + 7y to the 2nd power -4
3.) 4(T to the 2nd power + 3t -2) - 3(4t -1)

2. Originally Posted by MathMack
Bumping is rude. Please don't do it.

Originally Posted by MathMack
Need some help on these 3

1.) x-6-23x to the 2nd power
2.) Y to the 3rd power - 7y+8+3y to the 3rd power + 7y to the 2nd power -4
3.) 4(T to the 2nd power + 3t -2) - 3(4t -1)
If I understand you correctly, you need to simplify these and put them in standard form.

1)
$x - 6 - 23x^2$

Put the term with the highest degree on the left-most side and work your way to the right, with the higher degrees to the left:
$-23x^2 + x - 6$

2)
$y^3 - 7y + 8 + 3y^3 + 7y^2 - 4$

Combine like terms first:
$= (y^3 + 3y^3) - 7y + (8 - 4) + 7y^2$

$= 4y^3 - 7y + 4 + 7y^2$

Now order them:
$= 4y^3 + 7y^2 - 7y + 4$

3)
$4(t^2 + 3t - 2) - 3(4t - 1)$

Multiply it out first:
$= 4t^2 + 12t - 8 - 12t + 3$

Combine like terms:
$= 4t^2 + (12t - 12t) + (-8 + 3)$

$= 4t^2 - 5$

-Dan