#### Answer

$(5q^{2}+1)(3q+8)$

#### Work Step by Step

$15q^{3}+40q^{2}+3q+8=$
...factor out the GCF of each group of two terms.
$=5q^{2}(3q+8)+1(3q+8)$
...factor out the common factor, $3q+8$.
$=(5q^{2}+1)(3q+8)$

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Published by
Prentice Hall

ISBN 10:
0133281140

ISBN 13:
978-0-13328-114-9

$(5q^{2}+1)(3q+8)$

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