Maths

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 2x^2 + 7/2x + 3/4 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 2x^2 + 7/2x + [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: t^3 – 2t^2 – 15t Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: t^3 – 2t^2 – [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 5t^2 + 12t+ 7 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 5t^2 + 12t+ 7 November [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 3x^2 + 4x – 4 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 3x^2 + 4x – [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 4x^2 – 3x – 1 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 4x^2 – 3x – [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (vii) The only value of k for which the quadratic polynomial kx^2 + x + k has equal zeroes is 1/2. Are the following statements ‘True’ or ‘False’? Justify your answers. (vii) The only value of k for which the quadratic polynomial kx^2 + x [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (vi) If all three zeroes of a cubic polynomial x^3 + ax^2 – bx + c are positive, then at least one of a, b and c is non-negative. Are the following statements ‘True’ or ‘False’? Justify your answers. (vi) If all three zeroes of [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (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. Are the following statements ‘True’ or ‘False’? Justify your answers. (v) If all the zeroes of a cubic polynomial [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (iv) If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms. Are the following statements ‘True’ or ‘False’? Justify your answers. (iv) If two of the zeroes of a cubic polynomial are zero then it [...]

Are the following statements ‘True’ or ‘False’? Justify your answers. (iii) If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial. Are the following statements ‘True’ or ‘False’? Justify your answers. (iii) If the graph of a polynomial intersects the x-axis at exactly two points [...]