== 45x2+56b== == ---- ---- + 34x+23x+56x
Adding and subtracting polynomials is simply the adding and subtracting of their like terms.
The numbers can have a positive or negative sign.
You keep them the same if they have different bases
Adding polynomials involves combining like terms by summing their coefficients, resulting in a polynomial of the same degree. In contrast, multiplying polynomials requires applying the distributive property (or FOIL for binomials), which results in a polynomial whose degree is the sum of the degrees of the multiplied polynomials. Essentially, addition preserves the degree of the polynomials, while multiplication can increase it.
The answer is -2m
Addition and subtraction are inverse functions.
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To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .
4x+7y
Other polynomials of the same, or lower, order.
Yes, the product of two polynomials will always be a polynomial. When you multiply two polynomials, the result is obtained by distributing each term of the first polynomial to each term of the second, which involves adding the exponents of like terms. This process results in a new polynomial that follows the standard form, consisting of terms with non-negative integer exponents. Thus, the product maintains the characteristics of a polynomial.