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)?
If on division of a polynomial p (x) by a polynomial g (x), the quotient is zero, what is the relation between the degrees of p (x) and g (x)?
What will the quotient and remainder be on division of ax2 + bx + c by px3 + qx2 + rx + s, p ≠ 0?
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