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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.
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.
What is the distributive property when multiplying polynomials?
You just multiply the term to the polynomials and you combine lije terms
How do you multiply when you have a x and y in polynomials and you have to multiply them?
x times y is "xy"
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.
