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

2621 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve (5-x)/2= 2x-7


There are n sweets in a bag, 6 orange, rest yellow. H takes two, one after another, and eats them. Probability both are orange is 1/3. Show n^2 - n - 90 = 0.


Write 870,000,000 in standard form


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


We're here to help

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