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Classify the follwing as a constant ,...

Classify the follwing as a constant , linear , quadratic and cubic polynomials
(i) `2-x^(2)+x^(3)` (ii) ` 3x^(3)` (iii) `5t - sqrt(7)`
(iv)`4-5y^(2)` (v) 3 (vi) 2+x
`(vii) y^(3)-y` (viii) `1+x+x^(2) (ix)t^(2)`(x) `(sqrt(2))x-1`

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(i) Polynomial `2-x^(2)+x^(3)` is cubic polynomial , because maximum exponent of x is 3.
(ii) Polynormial ` 3x^(3) ` is a cubic polynomial , because maximum exponent of x is 3.
(iii) Polynomial `st -sqrt(7)` is a linear polynomial, because maximum exponent of t is 1.
(iv) Polynomial `4-5y^(2)` is a quadratic polynomial , because maximum exponent of y is 2.
(v) Polynomial 3 is a constant polynomial , because the exponent of variable is 0.
(vi) Polynomial `2+x` is a linear polynomial , because maximum exponent of x is 1.
(vii) Polynomial `Y^(3)-y` is cubic polynomial ,because maximum exponent of x is 2.
(viii) Polynomial `1+x+x^(2)` is a quadratic polynomial, beacause maximum exponent of x is 2.
(ix) Polynomial `t^(2)` is a quadratic polynomial , beacause maximum exonent of t is 2.
(x) polynomial `sqrt(2)x-1` is a linear polynomial , because maximum exponent of x is 1.
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NCERT EXEMPLAR-POLYNOMIALS-Polynomials
  1. For the polynomials (x^(3)+2x+1)/(5)-(7)/(2) x^(2)-x^(6) ,then wri...

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  2. write the coefficient of x^(2) in each of the following (i)...

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  3. Classify the follwing as a constant , linear , quadratic and cubi...

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  4. Give an example of a polynomial , which is (i) Monomial of deg...

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  5. find the value of the polynomial 3x^(3)-4x^(2)+7x-5, , when x=3...

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  6. If p(x) =x^(2)-4x+3, then evaluate p(2) -p(-1)+p((1)/(2)).

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  7. Find p(0), p(1) and p(-2) for the following polynomials (i) ...

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  8. Verify whether the following are true or false . (i) -3 is a zero ...

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  9. Find the zeroes of the polynomial ineach of the followning . ...

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  10. Find the zeroes of the polynomial p(x)=(x-2)^(2)-(x+2)^(2).

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  11. BY actual division , find the quotient and the remainder when the...

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  12. BY Remainder theorem , find the remainder when p(x) is divided by ...

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  13. check whether p(x) is a multiple of g(x) or not (i) p(x) =x^(...

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  14. Show that (i) x+3 is factor of 69+11x-x^(2)+x^(3) (ii) 2x-3 ...

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  15. Determine which of the following polynomial has x-2 a factor ...

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  16. is a factor of p^(10)-1 and also of p^(11)-1.

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  17. For what value of m is x^(3)-2mx^(2)+16 Divisible by x+2 ?

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  18. If x+2a is factor of x^(5)-4a^(2)x^(3)+2x+2a +3 , then find the ...

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  19. Find the value of m, so that 2x-1 be a factor of 8x^(4)+4x^(3)-1...

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  20. If x+1 is a factor of ax^(3)+x^(2)-2x+4a-9, then value of a .

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