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How do you multiply three or more polynomials?
To multiply TWO polynomials, you multiply each term in the first, by each term in the second. This can be justified by a repeated application of the distributive law. Two multiply more than two polynomials, you multiply the first two. Then you multiply the result with the third polynomial. If there are any more, multiply the result with the fourth polynomial, etc. Actually the polynomials can be multiplied in any order; both the communitative and associate laws apply.
Is 4 - 3x plus 5x2 a polynomial?
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.
Will the product of two polynomials always be a polynomials?
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.
Will the product of two polynomials always be a polynomial?
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.
Find two polynomials whose ratio simplifies to 3x-12x plus 1 and whose sum is 5xsquared plus 20?
The question cannot be answered because the ratio of the polynomials cannot simplify to "3x-12x plus 1" since that is not a simplified form: it simplifies to -9x + 1.
How do you multiply three or more polynomials?
To multiply TWO polynomials, you multiply each term in the first, by each term in the second. This can be justified by a repeated application of the distributive law. Two multiply more than two polynomials, you multiply the first two. Then you multiply the result with the third polynomial. If there are any more, multiply the result with the fourth polynomial, etc. Actually the polynomials can be multiplied in any order; both the communitative and associate laws apply.
Is 4 - 3x plus 5x2 a polynomial?
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.
Will the product of two polynomials always be a polynomials?
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.
Will the product of two polynomials always be a polynomial?
Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.
Is there a c program to multiply two polynomials using linked lists?
yes
To find the product of two polynomials multiply the top polynomial by each of the bottom polynomial?
(b+8)(b+8)
Find two polynomials whose ratio simplifies to 3x-12x plus 1 and whose sum is 5xsquared plus 20?
The question cannot be answered because the ratio of the polynomials cannot simplify to "3x-12x plus 1" since that is not a simplified form: it simplifies to -9x + 1.
2a2 - 5a plus 3 factor the following polynomials?
Multiply the first and last coefficients.2*3=6What two factors give you six but when combined give you -5-2 and -3Therefore2x-3)(x-1) will be the factored model.
Is x2 plus 27 a polynomial?
Yes, although we generally refer to polynomials with two terms, like this one, as binomials.
Explain how you multiply two polynomials?
To multiply two polynomials, you apply the distributive property, also known as the FOIL method for binomials. Each term in the first polynomial is multiplied by each term in the second polynomial. After performing all the multiplications, you combine like terms to simplify the resulting polynomial. Finally, ensure that the polynomial is written in standard form, with terms ordered by decreasing degree.
Can the sum of three polynomials again be a polynomial?
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
What do you call this quantity by polynomials with 2 terms?
Polynomials with two terms are called "binomials." A binomial consists of two monomial terms separated by either a plus or minus sign. For example, expressions like (3x + 5) or (2y^2 - 4) are both binomials.
