Which statement justifies that x2 + 3x - 1 multiplied by 2x2 - 2x + 1 obeys the closure property of multiplication?

(A) The result 2x4 - 6x2 - 1 has a degree of 4.

(B) The result 2x4 - 6x2 - 1 is a trinomial.

(C) The result 2x4 + 4x3 - 7x2 + 5x - 1 has a degree of 4.

(D) The result 2x4 + 4x3 - 7x2 + 5x - 1 is a polynomial.

Question

Mathematics

Adolfo Norman

5 July, 23:02

Which statement justifies that x2 + 3x - 1 multiplied by 2x2 - 2x + 1 obeys the closure property of multiplication?

(A) The result 2x4 - 6x2 - 1 has a degree of 4.

(B) The result 2x4 - 6x2 - 1 is a trinomial.

(C) The result 2x4 + 4x3 - 7x2 + 5x - 1 has a degree of 4.

(D) The result 2x4 + 4x3 - 7x2 + 5x - 1 is a polynomial.

+3

Answers (1)

Know the Answer?

Jethro · Answer 1

(x² + 3x - 1) (2x² - 2x + 1)

x² (2x² - 2x + 1) + 3x (2x² - 2x + 1) - 1 (2x² - 2x + 1)

2x^4 - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x - 1

2x^4 - 2x³ + 6x³ + x² - 6x² - 2x² + 3x + 2x - 1

2x^4 + 4x³ - 7x² + 5x - 1

(D) The result 2x4 + 4x3 - 7x2 + 5x - 1 is a polynomial.