Eric Nicholas K's answer to Tarah toh's Secondary 3 A Maths Singapore question.

done {{ upvoteCount }} Upvotes
clear {{ downvoteCount * -1 }} Downvotes
Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
1st
If A is a factor of B, then the factors of A (ie the components of A) are also factors of B.

Remainder theorem applies afterwards to yield two simul.

Solve for a and b.

Then factorise by comparing coefficients or Long division.