If one of the zeroes of the quadratic polynomial (k–1) x2+ k x + 1 is –3, then the value of k is
Given that one of the zeroes of the cubic polynomial ax3 + bx2 + cx + d is zero, the product of the other two zeroes is
A quadratic polynomial, whose zeroes are –3 and 4, is
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then
The number of polynomials having zeroes as –2 and 5 is
The zeroes of quadratic polynomial x2 + 99x + 127 are
If one of the zeroes of the cubic polynomial x3 + ax2 + bx + c is -1, then the product of other two zeroes is
The zeroes of the quadratic polynomial x2 + kx + k where k ≠ 0
If the zeroes of the quadratic polynomial ax2 + bx + c, where, c ≠ 0 are equal then
If one of the zeroes of a quadratic polynomial of the form x2 + ax + b is the negative of the other then it
Which of the following is not the graph of a quadratic polynomial?
If the graph of polynomial intersects the X-axis at only one points, it cannot be a quadratic polynomial.
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)?
What will the quotient and remainder be on division of ax2 + bx + c by px3 + qx2 + rx + s, p ≠ 0?
Can the quadratic polynomial x2 + kx + k have equal zeroes for some odd integer k > 1?
Can x2 – 1 be the quotient on division of x6 + 2x3 + x – 1 by a polynomial in x of degree 5?
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)?
If the zeroes of a quadratic polynomial ax2 + bx + c are both positive, then a, b and c have the same sign.
If the graph of a polynomial intersects the X-axis at exactly two points, it need not be a quadratic polynomial.
If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.
If all the zeroes of a cubic polynomial are negative, then all the coefficients and the constant term of polynomial have the same sign.
The only value of k for which the quadratic polynomial kx2 + x + k has equal zeroes is 1/2.
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.
The zeroes of 3x2 + 4x – 4 by factorisation method is
The zeroes of y^{2}+\frac{3}{2} \sqrt{5} y-5 by factorisation method is
Find a quadratic polynomial for -2√3, -9 whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation.
Find a quadratic polynomial for (-3/(2√5)), -½ whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation.
Given that √2 is a zero of the cubic polynomial 6x3 + √2 x2 – 10x – 4√2 , find its other two zeroes.
Find a quadratic polynomial for (–8/3), 4/3 whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation.
Given that the zeroes of the cubic polynomial are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b.
For which values of a and b are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of polynomial p(x) x5 – x4 – 4x3 + 3x2 + 3x + b? Which zeroes of p(x) are not the zeroes of q(x)?
Given that \left(x-\sqrt{5}\right) is a factor of cubic polynomial x^{3}-3 \sqrt{5} x^{2}+13 x-3 \sqrt{5} , find all the zeroes of the polynomial.
Find k so that x2 + 2x + k is factor of 2x4 + x3 – 14x2 + 5x + 6.
Find a quadratic polynomial whose sum and product respectively of the zeroes are 21/8 and 5/16.
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