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3) (P+21)(P+2)
Step-by-step explanation:
P²+23P+42
42×1=42. FACTORS OF 42 ARE 7,6,21,2,3,1&42. FIND THE PAIR WHICH ON ADDING GIVES 23.
21+2=23. ASLO THEY MUST BE SO THAT THEIR PRODUCT = 42×1=42.
HERE ×1 IS FOR THE COEFFICIENT OF P².
SO IT IS P²+21P+2P+42
P(P+21)+2(P+21)
(P+21)(P+2).
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