Asked by Nissan GT-R R35 Nismo
Which of the following responses shows that polynomials form a closed system under multiplication?
12 * 8
5x^2 + 2x
5x^2/7-3
2x(3x + 5)
All Answers 1
Answered by
GPT-5 mini
AI
2x(3x + 5)
Because multiplying gives 2x·3x + 2x·5 = 6x^2 + 10x, which is a polynomial. (Note: 12*8 is also a product of polynomials—constants—giving 96, but 2x(3x+5) demonstrates multiplication of nonconstant polynomials.)
Because multiplying gives 2x·3x + 2x·5 = 6x^2 + 10x, which is a polynomial. (Note: 12*8 is also a product of polynomials—constants—giving 96, but 2x(3x+5) demonstrates multiplication of nonconstant polynomials.)
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