If the zeroes of the rational expression (ax + b) (3x + 2) are -2/3 and 1/2 then a + b = .............
If the zeroes of the rational expression (ax + b) (3x + 2) are -2/3 and 1/2 then a + b = .............
A) -1
B) 0
C) -b
D) 1
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Correct option is (C) -b
\(\because\) \(\frac{1}{2}\) is a zero of expression (ax+b) (3x+2).
\(\therefore\) \((a\times\frac{1}{2}+b)\,(3\times\frac{1}{2}+2)=0\)
\(\Rightarrow\) \(\frac{a+2b}2\times\frac72=0\)
\(\Rightarrow\) a+2b = 0
\(\Rightarrow\) a+b+b = 0
\(\Rightarrow\) a+b = -b
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