Prove that (2*a^2 + 7a + 3)/(a + 3) is an odd number for any positive integer number, a.

We see that the numerator is a quadratic, so we factorise it to obtain:

(2a + 1)(a + 3)/(a + 3) = 2a + 1

Since a is a positive integer, we know that 2*a + 1 will always be an odd number.

NM
Answered by Nadia M. Maths tutor

2921 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

expand and simplify 2(c+5)+5(c-7)


A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.


Solve algebraically: 1) 6a + b = 16, 2) 5a - 2b = 19


Find both roots of the following equation x^2 + 2x - 4 = 0


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences