If you sum these two numbers up, you get 2n + 1. 2n will always give you an even number. Adding a 1 to any even number will always give you an odd. Therefore, a sum of any pair of consecutive numbers is always odd.
Example, 4 + 5 = 9; –8 + (–7) = –15.
Answer:
Yes to all 3 questions.
Step-by-step explanation:
3x^2(x-1) + -3x^3+ 4x^2-2x+1
= 3x^3 - 3x^2 - 3x^3 + 4x^2 - 2x + 1
= x^2 - 2x + 1,
So A + B is a polynomial.
3x^2(x-1) - (-3x^3+ 4x^2-2x+1)
= 3x^3 - 3x^2 + 3x^3 - 4x^2 + 2x - 1
= 6x^3 - 7x^2 + 2x - 1.
So A - B is also a polynomial.
3x^2(x-1)( -3x^3+ 4x^2-2x+1)
= (3x^3 - 3x^2) ( -3x^3 + 4x^2 - 2x + 1)
= -9x^6 + 12x^5 - 6x^4 + 3x^3 + 9x^5 - 12x^4 + 6x^3 - 3x^2
= -9x^6 + 21x^5 - 18x^4 + 9x^3 - 3x^2.
So A * B is a polynomial.
Using that formula we get:
so B is your answer :)
Answer:
1/2
Step-by-step explanation:
