how do i add a polynomial of a single variable with different exponents like this? Number in [ ] means exponent. (4x[4]+2x+11)+(-3x[2]+x) +(x[4]-2)=
2006-07-12 15:00:13 · 9 answers · asked by Sagar P 1 in Science & Mathematics ➔ Mathematics
Can u show the work too.
2006-07-12 15:07:06 · update #1
The what do I do with the -3x[2]
2006-07-12 15:10:40 · update #2
And where do you get the eleven from
2006-07-12 15:13:23 · update #3
Add the ones with the same exponents regularly, then solve the equation.
5x^4 - 3x^2 + 3x + 9
is the answer.
2006-07-12 15:04:58 · answer #1 · answered by NA A 5 · 1⤊ 1⤋
Coefficients of terms with the same variable(s) and exponents add. In your case...
4x^4 +x^4 = 5x^4
-3x^2
2x + x = 3x
11 - 2 = 9
All together...5x^4 - 3x^2 + 3x + 9
2006-07-12 22:05:53 · answer #2 · answered by BowtiePasta 6 · 0⤊ 0⤋
You can simplify like this.
(4x^4+2x+11)+(-3x^2+x) +(x^4-2) =
4x^4+2x+11-3x^2+x+x^4-2 =
5x^4+2x+11-3x^2+x-2 =
5x^4+3x+11-3x^2-2 =
5x^4+3x+9-3x^2 =
5x^4-3x^2+3x+9
2006-07-12 22:07:01 · answer #3 · answered by Michael M 6 · 0⤊ 0⤋
Get rid of the parentheses and add like powers of x. For example, the first term has 4x^4 and the last has x^4. Add'em up to get 5x^4. Continue with the lesser powers of x down to x^0.
2006-07-12 22:08:49 · answer #4 · answered by Steve 7 · 0⤊ 0⤋
First, get rid of the parantheses by "distributing" what's outside (in your case, that's only + signs, sonothing will change- just drop the parantheses).
Second, combine like terms. In other words, the terms you combine have to contain the same variable to the same power.
For example,You can't add-
x squared + x
because they have a different power,
but you can add-
3 x squared + 5 x squared= 8 x squared
because they are both to the second power
2006-07-12 22:07:21 · answer #5 · answered by teachingazteca 3 · 0⤊ 0⤋
5x[4]-3x[2]+3x+9
Add the coefficients of variables with common exponents (e.g. 4x[4]+x[4]=5x[4]).
2006-07-12 22:05:07 · answer #6 · answered by Dennis L 3 · 0⤊ 0⤋
You can only add the ones that have the same exponents. It's kind of like combining like terms -- all the terms with a power of four are added together, all the terms that are squared get added together, and so on.
2006-07-12 22:04:14 · answer #7 · answered by mathlady 2 · 0⤊ 0⤋
5x[4]-3x[2]+3x+9
2006-07-12 22:05:16 · answer #8 · answered by giggssoccer83 3 · 0⤊ 0⤋
google it man, i was thinking distribute but its a three part thing
2006-07-12 22:05:36 · answer #9 · answered by abul_moosada 1 · 0⤊ 0⤋