SOLUTION: Factor each polynomial. If the polynomial is prime, say so 18z + 45 + zē

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Question 148824This question is from textbook Elementary and Intermediate Algebra
: Factor each polynomial. If the polynomial is prime, say so
18z + 45 + zē
 This question is from textbook Elementary and Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Factor each polynomial. If the polynomial is prime, say so
18z + 45 + zē
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Rearrange:
z^2 + 18z + 45
Using the AC Method of factoring:
Think of two numbers whose product is 45 and whose sum is 18
The numbers are 15 and 3
Rewrite the problem:
z^2 + 15z + 3z + 45
Factor the 1st two and the last two terms separately
z(z+15) + 3(z+15)
Factor again:

(z+15)(z+3)
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Cheers,
Stan H.