Find the zeroes of q(y)=7y²-11/3y-2/3 by spliting the middle term?
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7y² – 11y/3 – 2/3 = 0
Multiplying by 3 on both sides,
21y² – 11y – 2 = 0
21y² – 7y + 6y – 2 = 0
7y ( 3y – 1 ) + 2 ( 3y – 1 ) = 0
( 7y + 2 ) ( 3y – 1 ) = 0
( 7y + 2 ) = 0 or ( 3y – 1 ) = 0
y = –2/7 or y = 1/3
7y² – 11y/3 – 2/3 = 0
Multiplying by 3 on both sides,
21y² – 11y – 2 = 0
21y² – 7y + 6y – 2 = 0
7y ( 3y – 1 ) + 2 ( 3y – 1 ) = 0
( 7y + 2 ) ( 3y – 1 ) = 0
( 7y + 2 ) = 0 or ( 3y – 1 ) = 0
y = –2/7 or y = 1/3
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