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Question

What must be added to 6x4−x3+3x2+4x−2, so that the result is exactly divisible by 3x2−2x+4? Also find the degree of the quotient.

A
2x2,2
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B
2x+2,2
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C
2x3,2
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D
None of these
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Solution

The correct option is A 2x2,2
a2+b2+ac2+2(ab+2bc+2ca)=(a+b+2c)2
when we divide (a+b+2c)2 by (a+b+2c) we get (a+b+2c)
Remainder is zero
R=2x+2
Adding (2x2) in given polynomial will made R = 0 & hence exactly divisible by (3x22x+4)
having a degree of 2

1353955_513712_ans_303c2a5017414373ac6cd342dd50c8a4.JPG

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