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# How do you add and subtract polynomials?

Updated: 4/28/2022

Wiki User

12y ago

Adding and subtracting Polynomials can be simple or difficult, considering your math skills and practices. When you add polynomials, you may first start out by lining them up. First, I'll go over some adding problems.

(2ms2+3m2s-4)+(1ms2-10m2s+12)

I always start by lining up the two terms beneath eachother, but weather you decide to do it horizonally or vertically is your own perogitive. I, however, will demonstate both.

Horizonal Finish:

2ms2+3m2s-4 + 1ms2-10m2s+12

3ms2-7m2s+8

Vertical Finish:

Just put your second term below your first term and add the like terms. Use the symbol (- or +) to find the integer of the number.

(2ms2 +3m2s -4)

+(1ms2-10m2s+12)

_________________

3ms2 -7m2s +8

Subtracting Example:

(4m2n-3mn-4m) - (-8m2n-6mn+3)

The only way to subtract properly is in a horizonal term, as show in the first section of adding. The subtracing is far, far different from the adding portion, though, sharing little similarities. I'll run you through all the steps of subtracting polynomials.

First off, I must remind you, it is only the secondterm where you add the opposite. (Meaning you change all the signs- Ex: -4x2+2-8 ----> 4x2-2+8) The first term remains the same.

(4m2n-3mn-4m) - (-8m2n-6mn+3)

The first remains the same, add the opposite on the second term.

(4m2n-3mn-4m) + (+8m2n+6mn-3)

Now you follow the last two steps of adding polynomials (See Above) and finish it either vertically or horizonally.

Finishing Subtraction Horizonally:

(4m2n-3mn-4m) + (+8m2n+6mn-3)

12m2n+3mn-4m-3

Finishing Subtraction Vertically:

(4m2n-3mn-4m) + (+8m2n+6mn-3)

Line your second term up below your first and add the like terms into one. (- means no term lines up.)

(4m2n -3mn -4m - )

+ (+8m2n +6mn - -3)

______________________

12m2n +3mn -4m -3

And you're all done. Thank you and have a blessed, math filled day. ;)

Wiki User

12y ago