Are the following statement ‘True’ or ‘False’? Justify your answer.The only value of k for which the quadratic polynomial kx2 + x + k has equal zeros is 1/2
Are the following statement ‘True’ or ‘False’? Justify your answer.
If all three zeroes of a cubic polynomial x3 + ax2 – bx + c are positive, then at least one of a, b and c is non-negative.
Are the following statement ‘True’ or ‘False’? Justify your answer.
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 statement ‘True’ or ‘False’? Justify your answer.
If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.
Are the following statement ‘True’ or ‘False’? Justify your answer.
If the graph of a polynomial intersects the x-axis at exactly two points, it need not be a quadratic polynomial.
Are the following statement ‘True’ or ‘False’? Justify your answer.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
Are the following statement ‘True’ or ‘False’? Justify your answer.
If the zeroes of a quadratic polynomial ax2 + bx + c are both positive, then a, b and c all have the same sign.
If on division of a non-zero polynomial p (x) by a polynomial g (x), the remainder is zero, what is the relation between the degrees of p (x) and g (x)?
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