Are the following statements ‘True’ or ‘False’? Justify your answers.
(i) If the zeroes of a quadratic polynomial ax2
+ 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 be a quadratic polynomial.
(iv) If two of the zeroes of a cubic polynomial are zero, then it does not
have linear and constant terms.
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Answer:
False
True
True
False
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