To subtract polynomials, we subtract ___ terms. So:(2x^3+9x^2+x+10)-(x^3+x^2+6x+8)=

BenoguigoliB

BenoguigoliB

Answered question

2021-09-05

To subtract polynomials, we subtract ___ terms. So:
(2x3+9x2+x+10)(x3+x2+6x+8)=

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-09-06Added 97 answers

In the subtraction of two polynomials , we subtract the second polynomial from the the first polynomial. To subtract the polynomials ,we need to arrange the like terms. We know that the polynomial will be of the form
anxn+an1xn1+a3x3+a2x2+a1x+a0=0, here we have the polynomial of degree 3.
To subtract the given polynomials ,First we have to look for the like terms. In polynomials we can only perform addition or subtraction between the two like terms of polynomials.
For example we can only subtract the x3 terms form or by using x3 term of the other polynomial.
hence we can only perform subtraction between like terms.
Therefore, to subtract polynomials, we subtract like terms.
Next we consider the subtraction between the polynomials
(2x3+9x2+x+10)(x3+x2+6x+8)
we know that we can only subtract two like terms, we get
(2x3x3)+(9x2x2)+(x6x)+(108)
x3+8x25x+2 hence we have the subtracted value of the polynomial x3+8x25x+2

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