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Graph of cubic polynomial...

Graph of cubic polynomial

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Draw the graph of the cubic polynomial f(x)=x^(3)-2x^(2)

Degree of cubic polynomial in two terms is :

Relationship between zeros of cubic polynomial and its coefficients

Write the standard form of a cubic polynomial with real coefficients.

Classify the following as linear, quadratic or cubic polynomial : 2x^(3)

Graph of Linear polynomial

Graph of the polynomial of degree 3 is shown. Find the polynomial represented by the graph. Where coordinate of R is ((5)/(2),0)

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) .

If the derivative of an odd cubic polynomial vanishes at two different values of ‘x’ then

Are the following statements True or False Justify your answers. 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.