Factor p 2 + 18p + 32.
(p+ 4)(p + 8)
(P + 2)p+ 16)
(P + 16)2
1 answer:
Answer:
(P + 2)(p+ 16)
Step-by-step explanation:
Factor p 2 + 18p + 32.
Consider the form x²
+bx
+c. Find a pair of integers whose product is c and whose sum is b
.
In this case, whose product is 32 and whose sum is 18
.
2,16
.
Write the factored form using these integers.
(P + 2)(p+ 16)
<u> CHECK </u>
(P + 2)(p+ 16)
distribute
p(p+16) + 2(p+16)
simplify
p² + 16p + 2p + 32
combine 16p + 2p = 18p
p² + 18p + 32
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