Polynomials (III)

Write the degree of each of the following polynomials: ( i ) 5x^(3)+4x^(2)+7x (ii) (iii) (iii) (iv) 3

Polynomials|Polynomials In One Variables|Examples|Degree Of A Polynomial|General Form Of A Polynomial|Types Of Polynomials|Questions|OMR

For the polynomials (x^(3)+2x+1)/(5)-(7)/(2) x^(2)-x^(6) ,then write (i) the degree of the polynomial (ii) the coefficient of x^(3) (iii) the coeficient of x^(6) (iv) the constant term

Algebraic Expression|Polynomial|Polynomials In One Variable|Degree Of A Polynomial|Types Of Polynomials|Summary

Types of Polynomial on the basis of degree of Polynomial (iv) Cubic polynomial (v) Bi- quadratic polynomial

Differentiate (x^2-5x+8)(x^3+7x+9) in three ways mentioned below: (i) by using product rule (ii) by expanding the product to obtain a single polynomial. (iii) by logarithmic differentiation. Do they all give the same answer?

Are the following statements 'True' or 'False'? Justify your answer. (i) If the zeroes of a quadratic polynomial ax^(2) +bx +c are both positive, then a,b and c all have the same sign. (ii) If the graph of a polynomial intersects the X-axis at only one point, it cannot be a quadratic polynomial. (iii) If the graph of a polynomial intersects the X-axis at exactly two points, it need not ve a quadratic polynomial. (iv) If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms. (v) If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of the polynomial have the same sign. (vi) If all three zeroes of a cubic polynomial x^(3) +ax^(2) - bx +c are positive, then atleast one of a,b and c is non-negative. (vii) The only value of k for which the quadratic polynomial kx^(2) +x +k has equal zeroes is (1)/(2) .

Polynomials- What Is An Algebric Expression?|Polynomials-General Form Of A Polynomial|Examples|"Polynomials- Types Of Polynomial (On Basis Of Degree)"|Polynomials- Value Of A polynomial|OMR

Graph of a quadratic polynomial is a (i) straight line (ii) circle (iii)parabola (iv)ellipse

For the polynomial (x^(3)+2x+3)/(5)-(7)/(2)x^(2)-x^(6) ,write (i) the degree of the polynomial , (ii) the coefficient of x^(3) , (iii) the coefficient of x^(6) , (iv) the constant term.