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determine whether following are polynomi...

determine whether following are polynomial or not `2x^2/3−3x^2/2+x-5` (2)`x^3/2-3x^2+5x^(1/2)+x-1`

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Write the degree of each of the following polynomials : 2x^2+5x^2-7 (ii) 5x^2-3x+2 2x+x^2-8

Which of the following are polynomials ? (i) x^(2)-3x+1 " " (ii) x^(2)+5x+2 " "(iii) x-(1)/(y) " " (iv) x^(7)+8 " " (v) x^(3)+sqrt(x)-2 (vi) sqrt(2)x^(2)+x-1 " " (vii) (3x-1)(x+5) " " (viii) (x-(3)/(x))(x+2) " " (ix)2x^(2)-1 (x) x+(1)/(sqrt(x))+2

Knowledge Check

  • A teacher wrote the following polynomial on the board : 2 x^(3) - 3 x^(2) + 4 x + 7, x^(3) - 19 x - 30, 2x^(2) + 5 x + 2, 3 x + 2, 4x^(2) , 2x^(2) - 5 x + p, 2 x^(2) + 5 x + q Now she asked following questions to the students If 2 x + 1 is a factor of the polynomial 2 x^(2) + 5 x + q then the value of q is

    A
    3
    B
    7
    C
    2
    D
    `-3`
  • A teacher wrote the following polynomial on the board : 2 x^(3) - 3 x^(2) + 4 x + 7, x^(3) - 19 x - 30, 2x^(2) + 5 x + 2, 3 x + 2, 4x^(2) , 2x^(2) - 5 x + p, 2 x^(2) + 5 x + q Now she asked following questions to the students When the polynomial 2 x^(3) - 3 x^(2) + 4x + 7 is divided by x - 2 the remainder is

    A
    19
    B
    10
    C
    `-29`
    D
    2
  • A teacher wrote the following polynomial on the board : 2 x^(3) - 3 x^(2) + 4 x + 7, x^(3) - 19 x - 30, 2x^(2) + 5 x + 2, 3 x + 2, 4x^(2) , 2x^(2) - 5 x + p, 2 x^(2) + 5 x + q Now she asked following questions to the students If 2 x + 1 is a factors of 2 x^(2) - 5 x + p then the value of p is

    A
    3
    B
    6
    C
    `-6`
    D
    `-3`
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    Use the Remainder Theorem to find which of the following is a factor of 2x^3 + 3x^2- 5x - 6. (i) x+1 (ii) 2x-1 (iii) x+2

    In each of the following, determine whether the given values are solutions of the given equation or not: (i) x^2-3x+2=0,\ \ x=2,\ x=-1 (ii) x^2+x+1=0,\ \ x=0,\ x=1 (iii) x^2-3sqrt(3)x+6=0,\ \ x=sqrt(3),\ \ x=-2sqrt(3) (iv) x+1/x=(13)/6,\ \ x=5/6,\ \ x=4/3

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