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

8. If ax square? + bx+c and bx + ax + c have a common factor x + 1 the

1.	8. If ax square? + bx+c and bx + ax + c have a common factor x + 1 then show thatc=0 and a =b.
Answer» Step-by-step EXPLANATION:ax²+bx+c (1) and bx²+ax+c (2) have x+1 as FACTOR so x=-1from(1)a(-1)²+b-1+c=0a-b+c=0 (3)from(2)b(-1)²+a-1+c=0b-a+c=0 (4)add(3) (4)2c=0c=0now SUBTRACT (4) from(3)a-b+c-b+a-c=02a-2b=02a=2ba=b

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

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