Question

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Which statement justifies that 2x2 + x − 3 multiplied by x2 − 3x − 2 obeys the closure property of multiplication?
The result 2x4 − 5x3 − 10x2 + 7x + 6 is a polynomial.
The result 2x4 − 5x3 − 10x2 + 7x + 6 has a degree of 4.
The result 2x4 − 3x2 + 6 is a trinomial.
The result 2x4 − 3x2 + 6 has a degree of 4.

Answer 1

(2x^2 + x - 3)(x^2 - 3x - 2)
= 2x^4 - 6x^3 - 4x^2 + x^3 - 3x^2 - 2x -3x^2 + 9x + 6
= 2x^4 - 5x^3 -10x^2 + 7x  + 6

The first choice is the correct one

Answer 2

Option: (1),(2)  are correct. The result 2x⁴ - 5 x³ - 10 x² + 7x + 6 is a Polynomial and has degree of 4.

What is Polynomial?

"An expression of more than two algebraic terms, especially the sum of several terms that contains different powers of the same variables".

According to the question,

(2x⁴ + x - 3)(x² - 3x -2)

2x⁴ - 6x³-4x³+x³-3x²-2x-3x²+9x+6

2x⁴ - 5 x³ - 10 x² + 7x + 6 .

Hence, the result 2x⁴ - 5 x³ - 10 x² + 7x + 6 is a polynomial of degree 4

To learn more about Polynomial here

https://brainly.com/question/15493909

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