Answer
(p+1)(4p+3)
Work Step by Step
You are given $4p^{2}$+7p+3. Factor it out:
$4p^{2}$+4p+3p+3-break out the middle value-
($4p^{2}$+4p)+(3p+3) -group the first two and last two terms-
4p(p+1)+3(p+1) -Find the GCF of each grouping-
(4p+3)(p+1) -factor out the common term-
=(p+1)(4p+3)
