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Polynomials Test - 31

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Polynomials Test - 31
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  • Question 1
    1 / -0
    Which of the following is a linear polynomial ?
    Solution
    Step1: Check Every Option to Find whether it is Linear Polynomial or Not\textbf{Step1: Check Every Option to Find whether it is Linear Polynomial or Not}
                   The General form of linear polynomial is p(x)=ax+b\text{The General form of linear polynomial is p(x)=ax+b} 
                   where x is a Variable and b is a Constant\text{where x is a Variable and b is a Constant} 
                   The first term of this polynomial has power 1 and Therefore, the degree of the polynomial is 1.\text{The first term of this polynomial has power 1 and Therefore, the degree of the polynomial is 1.}
                   Since Linear Polynomial is Polynomial in terms Single variable with degree 1\text{Since Linear Polynomial is Polynomial in terms Single variable with degree 1} 
                    By Verifying every option,we can say that-\text{ By Verifying every option,we can say that-}
                   Option A.\text{Option A.}  x+x2:x+x^2: It is not a Linear Polynomial since Power of x i.e. Degree is not 1\text{It is not a Linear Polynomial since Power of x i.e. Degree is not 1}
                   Option B.\text{Option B.}   x+1:x+1: It is a Linear Polynomial in ax+b form with Degree 1.\text{It is a Linear Polynomial in ax+b form with Degree 1.}      
                   Option C.\text{Option C.}  5x2x+3:5x^2-x+3: It is not a Linear Polynomial since Power of x i.e. Degree is not 1\text{It is not a Linear Polynomial since Power of x i.e. Degree is not 1}  
                   Option D.\text{Option D.}  x+x1:x+x^{-1}:  It is not a Linear Polynomial since Power of x is Ngeative.\text{It is not a Linear Polynomial since Power of x is Ngeative.}    

    Hence, the Expression x+1 is a Linear Polynomial.\textbf{Hence, the Expression $x+1$ is a Linear Polynomial.}

  • Question 2
    1 / -0
    The expression with only constant is
    Solution

  • Question 3
    1 / -0
    What is the degree of the polynomials 7\sqrt 7 ?
    Solution

  • Question 4
    1 / -0
    The degree of the polynomial 3x3y5xy42x+13x^3y-5xy^4-2x+1 is
    Solution
    The degree of the polynomial
    3x3y5xy42x+13x^3y-5xy^4-2x+1 is of 5xy4    1+4=5-5xy^4\implies1+4=5  [as it is the highest]
  • Question 5
    1 / -0
    If two of the zeros of the polynomial t47t3+70t100t^4-7t^3+70t-100 are same as that of t27t+10t^2-7t+10, then find the other two zeros.
    Solution

  • Question 6
    1 / -0
    If 44 and its negative are the two zeros of polynomial x417x2+16x^4-17x^2+16, then other two zeros are
    Solution

  • Question 7
    1 / -0
    It is given that two of the zeros of the polynomial x44x3+6x24x+1x^4-4x^3+6x^2-4x+1 are same and equal to 11, then can we say that all the zeros are same and equal to 11?
    Solution

  • Question 8
    1 / -0
    If two of the zeros of the polynomial x49x3180x400x^4-9x^3-180x-400 are same as that of the polynomials x4x-4 and x5x-5, then other two zeros are
    Solution

  • Question 9
    1 / -0
    If 00 and its predecessor are the zeros of the polynomial x42x3x2+2xx^4-2x^3-x^2+2x, then find the other two zeros.
    Solution

  • Question 10
    1 / -0
    If the smallest natural number and its successor are the two zeros of the polynomial x43x34x2+18x12x^4-3x^3-4x^2+18x-12, then other two zeros are ____.
    Solution

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