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Identify polynomials in the following: `f(x)=4x^3-x^2-3x+7` `g(x)=2x^3-3x^2+sqrt(x)-1` `p(x)=2/3x^2-7/4x+9` `q(x)=2x^2-3x+4/x+2` `h(x)=x^4-x^(2/3)+x-1`

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`f(x)` : It is a polynomial.
`g(x)` : It is not a polynomial as degree of `sqrtx` is not a positive integer.
`px`: It is a polynomial.
`q(x)=2x^2-3x+4/x+2=2x^2-3x+4x^-1+2`,It is not a polynomial as degree of `4x^-1` is not a positive integer.
`h(x)=x^4-x^(2/3)+x-1`,It is not a polynomial as degree of x is no a positive integer.
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Identify polynomials in the following: f(x)=4x^(3)-x^(2)-3x+7g(x)=2x^(3)-3x^(2)+sqrt(x)-1p(x)=(2)/(3)x^(2)-(7)/(4)x+9q(x)=2x^(2)-3x+(4)/(x)+2h(x)=x^(4)-x^((2)/(3))+x-1f(x)=2+(3)/(x)+4x

f(x)=4x^(3)-12x^(2)+14x-3,g(x)=2x-1

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(2)

" 2" f(x)=4x^(4)-3x^(3)-2x^(2)+x-7,g(x)=x-1

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following: (i) p(x) = x^3 - 3x^2 + 5x - 3, g(x) = x^2 - 2 (ii) p(x) = x^4 - 3x^2 + 4x - 5, g(x) = x^2 + 1 - x (iii) p(x) = x^4 - 5x + 6, g(x) = 2 - x^2

Identify the constant;linear;quadratic;cubic and bi-quadratic poolynomial from the following polynomial (i) f(x) = 2x^2+3x+7 (ii) g(x)= 2 x^3 - 7x +8 (iii) 7x-4 (iv)x^3-x+1(v) x^4 + 2x^3-3x^2+5x - 7 + 2sqrtx

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Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i) p(x)=2x^3+x^2-2x-1,g(x)=x+1 (ii) p(x)=x^3+3x^2+3x+1,g(x)=x+2 (iii) p(x)=x^3+4x^2+x+6,g(x)=x-3

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RD SHARMA-FACTORIZATION OF POLYNOMIAL-All Questions
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  2. Identify polynomials in the following: f(x)=4x^3-x^2-3x+7 g(x)=2x^3...

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  3. Identify polynomials in the following: f(x)=4x^3-x^2-3x+7 g(x)=2x^3...

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  8. If f(x)=2x^3-13 x^2+17 x+12 ,\ find f(2) (ii) f(-3)

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  9. Show that x=1 is a root of the polynomial 2x^3-3x^2+7x-6

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  10. If x=4/3 is a root of the polynomial f(x)=6x^3-11 x^2+k x-20 , find th...

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  11. If x=2 and x=0 are roots of the polynomial f(x)=2x^3-5x^2+a z+bdot Fin...

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  12. Find the integral roots of the polynomial f(x)=x^3-6x^2+11 x-6

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  13. Find the rational roots of the polynomial 2x^3+3x^2-11 x-6

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  14. Find the zero (root) of the polynomial in each of the following case...

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  15. Find the zero (root) of the polynomial in each of the following case...

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  16. यदि f(x)=2x^(3)-13x^(2)+17x+12 हो, तो (i)" "f(2)(ii) " "f(-3)(iii)" ...

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  17. Verify whether the indicated numbers are zeros of the polynomials co...

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  18. Verify whether the indicated numbers are zeros of the polynomials co...

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  19. Verify whether the indicated numbers are zeros of the polynomials co...

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  20. Verify whether the indicated numbers are zeros of the polynomials co...

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