Problem of the Week

Updated at Jun 10, 2019 10:32 AM

Recent Posts

Jun 10, 2019

How can we compute the factors of \(15{q}^{2}-q-28\)?

Below is the solution.

\[15{q}^{2}-q-28\]

How?

Split the second term in \(15{q}^{2}-q-28\) into two terms.

\[15{q}^{2}+20q-21q-28\]

Factor out common terms in the first two terms, then in the last two terms.

\[5q(3q+4)-7(3q+4)\]

Factor out the common term \(3q+4\).

\[(3q+4)(5q-7)\]

Done