Factoring a quadratic with leading coefficient greater than

Factoring a quadratic with leading coefficient greater than 1.. how to factor 3z^2-29z+18 ???

Solution

Step 1: Multiply the Coefficient of Z^2 and constant term

Step 2: Write the middle term in the splitting form   using the product from step 1

Here in the question the product is 3*18=54
So middle term should be split as -27z   and -2z

Since (-27z)+(-2z)=-29Z    and (-27)*(-2) =+54