The idea here is to multiply each term in the first polynomial by each term in the second polynomial.
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.
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get 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.
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.
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.
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.
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.
yes
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.
(b+8)(b+8)
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.
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.
Yes, although we generally refer to polynomials with two terms, like this one, as binomials.
The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.
The FOIL method is used to multiply together two polynomials, each consisting of two terms. In general the polynomials could be of any degree and each could contain a number of variables. However, FOIL is generally used for two monomials in one variable; that is (ax + b) and (cx + d) To multiply these two monomials together - F = Multiply together the FIRST term of each bracket: ax * cx = acx2 O = Multiply the OUTER terms in the way the brackets are written out= ax * d = adx I = Multiply the INNER terms = b * cx = bcx L = Multiply the LAST terms of each bracket = b * d = bd Add together: acx2 + adx + bcx + bd Lastly, combine the middle two terms which are "like" terms to give acx2 + (ad + bc)*x + bd
Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.
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