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.

Answered by Nadia M. Maths tutor

2863 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve algebraically the simultaneous equations 2x^2-y^2=17 and x+2y=1


Expand and simplify (x − 4)(2x + 3y)^2


Calculate the gradient of this straight line


Solve these simultaneous equations (1) 12x + 3.5y = 32 (2) 8x + 3y = 24


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