Question

8. If ax square? + bx+c and bx + ax + c have a common factor x + 1 then show that
c=0 and a =b.​

Answer 1

Answer:

Step-by-step explanation:

ax²+bx+c   (1)

and bx²+ax+c         (2)

have x+1 as factor

so x=-1

from(1)

a(-1)²+b*-1+c=0

a-b+c=0         (3)

from(2)

b(-1)²+a*-1+c=0

b-a+c=0   (4)

add(3) (4)

2c=0

c=0

now subtract (4) from(3)

a-b+c-b+a-c=0

2a-2b=0

2a=2b

a=b