# Subtracting Polynomials Calculator

The polynomial equation is an equation of the form: ax^{3}+bx^{2}+cx+d = 0 (third degree), ax^{3}+bx^{2}+c = 0 (second degree). Subtracting the polynomial equation is quite similar to the addition of equations, but you have to deal with a minus sign. To subtract polynomial equations, first reverse the sign of each term ('+ ' into '-' and '-' into '+') and add equations as usual. Here is an online subtracting polynomials calculator with which you could easily minus one polynomial equation from other.

## Subtract Polynomial Equations

The polynomial equation is an equation of the form: ax^{3}+bx^{2}+cx+d = 0 (third degree), ax^{3}+bx^{2}+c = 0 (second degree). Subtracting the polynomial equation is quite similar to the addition of equations, but you have to deal with a minus sign. To subtract polynomial equations, first reverse the sign of each term ('+ ' into '-' and '-' into '+') and add equations as usual. Here is an online subtracting polynomials calculator with which you could easily minus one polynomial equation from other.

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Subtracting polynomials can be done by finding the like terms and subtracting those terms according to the symbol of operation.

### Example:

#### Subtract Polynomial Equations of Third Degree :

(x^{3} + 5x^{2} + 2x - 4) - (4x^{3} - 6x^{2} - 3x + 6)

#### Step 1 :

Multiplying -1 with the second polynomial, -1(4x^{3} - 6x^{2} - 3x + 6)
like ,

= (x^{3} + 5x^{2} + 2x - 4) – 1(4x^{3} - 6x^{2} - 3x + 6)

= (x^{3} + 5x^{2} + 2x - 4) – 1(4x^{3}) – 1 (–6x^{2}) – 1(–3x) – 1(6)

you will get an ouput like ,

= x^{3} + 5x^{2} + 2x - 4 – 4x^{3} + 6x^{2} + 3x – 6

#### Step 2 :

Subtracting the terms with the corresponding degree terms, x^{3} – 4x^{3} + 5x^{2} + 6x^{2} + 2x + 3x – 4 – 6

#### Step 3 :

Finally you will get an output like,

–3x^{3} + 11x^{2} + 5x –10