Question

x + 2 is a common factor of the expressions (x2 + ax + b) and (x2 + bx + a). The ratio a/b is equal to ​

Answer 1

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Question

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If (x−2) is a common factor of the expressions x

2

+ax+b and x

2

+cx+d, then

c−a

b−d

=

A

−2

B

−1

C

1

D

2

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Solution

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Correct option is

D

2

Given (x−2) is a common factor of x

2

+ax+b and x

2

+cx+d

∴x=2 is a root of x

2

+ax+b=0 and x

2

+cx+d=0

∴4+2a+b=0,4+2c+d=0

⇒2a+b=2c+d

⇒2(c−a)=b−d

⇒

c−a

b−d

=2

Answer 2

Answer:

The ratio of a/b is equal to

...x/y