If the zeroes of the rational expression (ax + b) (3x + 2) are -2/3 an

1.	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
Answer» 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 Correct option is C) -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

Answer»

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

Correct option is C) -b