Problem of the Week

Updated at Nov 25, 2019 11:37 AM

How would you find the factors of \(2{z}^{2}-17z+30\)?

Below is the solution.



\[2{z}^{2}-17z+30\]

1
How?
Split the second term in \(2{z}^{2}-17z+30\) into two terms.
\[2{z}^{2}-5z-12z+30\]

2
Factor out common terms in the first two terms, then in the last two terms.
\[z(2z-5)-6(2z-5)\]

3
Factor out the common term \(2z-5\).
\[(2z-5)(z-6)\]

Done