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Classify the following as linear, quadra...

Classify the following as linear, quadratic and cubic polynomial:
(i) `x^2+x`
(ii) `x-x^3`
(iii) `y+y^2+4`
(iv) 1 + x
(v) 3t
(vi) `r^2`
(vii) `7x^3`

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CPC CAMBRIDGE PUBLICATION-POLYNOMIALS-EXERCISE 14.5
  1. Classify the following as linear, quadratic and cubic polynomial: (i...

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  2. Use suitable identities to find the following products: (i) (x+4)(x+...

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  3. Evaluate the following products without multiplying directly (i) 103...

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  4. Factories the following using appropriate identities: (i) 9x^2+6xy+y...

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  5. Expand each of the following , using suitable identities : (i) (x+2y...

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  6. Factorise : (i) 4x^2+9y^2+16z^2+12xy-24yz-16xz (ii) 2x^2+y^2+8z^2...

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  7. Write the following cubes in expanded form: (i) (2x+1)^3 (ii) (2a-...

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  8. Evaluate the following using suitable identities : (i) (99)^3 (ii)...

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  9. Factorise each of the following : (i) 8a^3+b^3+12a^2b+6ab^2 (ii) 8...

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  10. Verify the following : (i) x^3+y^3=(x-y)(x^2-xy+y^2) (ii) x^3-y^3=...

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  11. Factorise each of the following : (i) 27y^3+125z^3 (ii) 64m^3-343n...

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  12. Factorise the following : 27x^3+y^3+z^3-9xyz

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  13. Verify that : x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2] C...

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  14. x+y+z=0 Show that x^(3)+y^(2)+z^(3)=3xyz

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  15. Without actually calculating the cubes, find the value of each of the ...

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  16. Give possible expressions for the length and breadth of each of the fo...

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  17. What are the possible expressions for the dimensions of the cuboids wh...

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