Which statement shows how the product of (x + 5) 2 demonstrates the closure property of multiplication?

x2 + 25 is a polynomial

x2 + 25 may or may not be a polynomial

x2 + 10x + 25 is a polynomial

x2 + 10x + 25 may or may not be a polynomial

Question

Mariah Hinton

Mathematics

19 July, 03:31

Which statement shows how the product of (x + 5) 2 demonstrates the closure property of multiplication?

x2 + 25 is a polynomial

x2 + 25 may or may not be a polynomial

x2 + 10x + 25 is a polynomial

x2 + 10x + 25 may or may not be a polynomial

+1

Answers (1)

Know the Answer?

Lyric · Answer 1

x2+10x+25 is a polynomial

Step-by-step explanation:

The closure property means the product of two poly should be a poly. That's the case.

(x+5) 2 = (x+5) (x+5) = x2+5x+5x+25 = x2+10x+25

This final result is a poly, and the sentence which this poly is written is the third one.

Which statement shows how the product of (x + 5) 2 demonstrates the closure property of multiplication?x2 + 25 is a polynomialx2 + 25 may or may not be a polynomialx2 + 10x + 25 is a polynomialx2 + 10x + 25 may or may not be a polynomial

Which statement shows how the product of (x + 5) 2 demonstrates the closure property of multiplication?

x2 + 25 is a polynomial

x2 + 25 may or may not be a polynomial

x2 + 10x + 25 is a polynomial

x2 + 10x + 25 may or may not be a polynomial