Which statement justifies that 3x2 − 2x − 4 multiplied by 2x2 + x − 3 obeys the closure property of multiplication? The result 6x4 − 2x2 + 12 has a degree of 4. The result 6x4 − 2x2 + 12 is a trinomial. The result 6x4 − x3 − 19x2 + 2x + 12 is a polynomial. The result 6x4 − x3 − 19x2 + 2x + 12 has a degree of 4.I think it is B.
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Answer:
Answer:The result [tex]6x^4-x^3-19x^2+2x+12[/tex]. is a polynomial. Step-by-step explanation:The first polynomial is [tex]3x^2-2x-4[/tex].The second polynomial is [tex]2x^2+x-3[/tex]The closure property of multiplication states that if we multiply two polynomials the result must be a polynomial.The product of these two polynomials is :[tex](3x^2-2x-4)(2x^2+x-3)=6x^4-x^3-19x^2+2x+12[/tex].We can see that the result is still a polynomial.
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