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Simplify the following : 2x^(2)+3y^(2)...

Simplify the following :
`2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)`

A

`7x^2+4y^2-11xy`

B

`7x^2+2y^2-30xy`

C

`4x^2+2y^2-11xy`

D

`4x^2+xy+2y^2`

Text Solution

Verified by Experts

The correct Answer is:
D
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QUANTUM CAT-ELEMENTS OF ALGEBRA-QUESTION BANK
  1. In the following which pair contains like terms?

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  2. Find the degree of the polynomial 4x^(5)-2x^(2)y^(3)+6.

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  3. Simplify the following : 2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)

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  4. If sum of two polynomials is 5x^(2)+3x-1. If one of them is 3x^(3)-2x+...

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  5. Multiply (1)/(2)a^(2)b-(2)/(3)ab^(2)+b by 6abc:

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  6. Find the product of ((1)/(2)x^(2)-(1)/(3)y^(2))and((1)/(2)x^(2)+(1)/(3...

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  7. Divide 36x^(2)y^(5)+42xy^(3)-24x^(3)y^(2)-12y^(5) by -6y^(2).

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  8. Find the remainder when the expression 3x^3+6x^2-7x+6 is divided by x ...

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  9. Find the value of a if the division of ax^(3)+9x^(2)+4x-10 by (x+3) le...

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  10. If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the val...

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  11. if (5x^2 + 14x + 2)^2 - (4x^2 - 5x + 7)^2 is divided by x^2 + x + 1, ...

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  12. On dividing (x^3-5x + 6) by(x+1) the the remainder is:

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  13. When (x^4-3x^3+2x^2-5x+7) is divided by (x-1) then the remainder is

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  14. If x^3 + 5x^2+10k leaves remainder -2x when divided by x^2+2 then the ...

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  15. If (x^11+1) is divided by (x-1) then the remainder is

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  16. If 5x^3+5x^2-6x+9 is divided by (x+3) then the remainder is:

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  17. If f(x) is divided by (2x+3), then the remainder is :

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  18. When (x^3-2x^2+px-q) is divided by (x^2-2x-3) the remainder is (x-6)Th...

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  19. If (y-1) is a factor of (y^2+3qy-2q) then the value of q is:

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  20. Find the value of k, if (x+2) exactly divides x^(3)+6x^(2)+4x+k.

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