How do you write a polynomial in standard form, then classify it by degree and number of terms $8 - 6 w - 12 w - 8 w^{2} - 7 - 3 w^{3}$ $8- 6w - 12w - 8w^2 - 7 - 3w^3$ ?

Question

1313 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-08-07T18:10:26

$- 3 w^{3} - 8 w^{2} - 18 w + 1$ $" "-3w^3-8w^2-18w+1$

There are 4 terms and the highest degree (power) is 3

Standard form is $a x^{3} + b x^{2} + c x + d$ $" "ax^3+bx^2+cx+d$

The only difference is that in this question we have $w$ $w$ instead of $x$ $x$ .

Collecting like terms:

$- 3 w^{3} - 8 w^{2} + (- 6 w - 12 w) + (8 - 7)$ $" "-3w^3-8w^2+(-6w-12w)+(8-7)$ giving:

$- 3 w^{3} - 8 w^{2} - 18 w + 1$ $" "-3w^3-8w^2-18w+1$

There are 4 terms and the highest degree (power) is 3

How do you write a polynomial in standard form, then classify it by degree and number of terms 8- 6w - 12w - 8w^2 - 7 - 3w^38−6w−12w−8w2−7−3w38- 6w - 12w - 8w^2 - 7 - 3w^3?