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If A=2x^(3)-3x^(2)-4x+5, B=2x^(2)-x^(3)+...

If `A=2x^(3)-3x^(2)-4x+5, B=2x^(2)-x^(3)+1 and C=x^(2)+x+2`, then find the degree of A+2B-C.

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Given that,
`A=2x^(3)-3x^(2)-4x+5`
`2B=2(2x^(2)-x^(3)+x+1)=4x^(2)-2x^(3)+2x+2`
`C=x^(2)+x+2`
`A+2B-C=(2x^(3)-3x^(2)-4x+5)+(4x^(2)-2x^(3)+2x+2)-(x^(2)+x+2)`
`=-3x+5`
The degree of A+2B-C is 1
Hence, the correct option is (b)
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