If one of the zeroes of the quadratic polynomial (k - 1) x^{2} + kx + 1 is - 3, then the value of k is

A quadratic polynomial, whose zeros are - 3 and 4, is

If the zeros of the quadratic polynomial x^{2} + (a + 1)x + b are 2 and - 3,

Then

The number of polynomials having zeroes as - 2 and 5 is

If one of the zeroes of the cubic polynomial ax^{3} + bx^{2} + cx + d is zero, the product of the other two zeroes is

If one of the zeroes of the cubic polynomial x^{3} + ax^{2} + bx + c is - 1, then the product of the other two zeroes is

The zeroes of the quadratic polynomial x^{2} + 99x + 127 are

The zeroes of the quadratic polynomial x^{2} + kx + k where k≠0,

If the zeroes of the quadratic polynomial ax^{2} + bx + c, where c≠0, are equal, then

If one of the zeroes of a quadratic polynomial of the form x^{2} + ax + b is the negative of the other, then it

Which of the following is not the graph of a quadratic polynomial?

Can x^{2} - 1 be the quotient on division of x^{6} + 2x^{3} + x - 1 by a polynomial in x of degree 5?

What will the quotient and remainder be on division of ax^{2} + bx + c by px^{3} + qx^{2} + rx + s, p≠0?

If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degree of p (x) and g(x)?

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 degree of p (x) and g (x)?

Can the quadratic polynomial x^{2} + kx + k have equal zeroes for some odd integer k > 1?

Are the following statements ‘true’ or ‘False’? Justify your answer.

If the zeroes of a quadratic polynomial ax^{2} + bx + c are both positive, then a, b and c all have the same sign.

If the graph of a polynomial intersects the x - axis at only one point it need not be a quadratic polynomial.

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 cubic polynomials 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 the polynomial have the same sign.

If all three zeroes of a cubic polynomial x^{3} + qx^{2} - bx + c are positive, then at least one of a, b and c is non - negative.

The only value of k for which the quadratic polynomial kx^{2} + x + k has equal zeroes is 1/2

4x^{2} - 3x - 1.

3x^{2} + 4x - 4.

5t^{2} + 12t + 7.

t^{3} - 2t^{2} - 15t.

2x^{2} + 7/2 x + 3/4.

4x^{2} + 52x - 3.

2s^{2} - (1 + 22)s + 2.

v^{2} + 43v - 15.

.

7y^{2} - 11y/3 - 2/3.

For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.

- 23, - 9

If the zeroes of the cubic polynomial x^{3} - 6x^{2} + 10 are of the form a, a + b and a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

If √2 is zero of the cubic polynomial 6x^{3} + 2x^{2} - 10x - 42, the find it’s other two zeroes.

Find k, so that x^{2} + 2x + k is a factor of 2x^{4} + x^{3} - 14x^{2} + 5x + 6. Also, find all the zeroes of the two polynomials.

If x - 5 is a factor of the cubic polynomial x^{3} - 35x^{2} + 13x - 35, then find all the zeroes of the polynomial.

For which values of a and b, the zeroes of q (x) = x^{3} + 2x^{2} + a are also the zeros of the polynomial p(x) = x^{5} - x^{4} - 4x^{3} + 3x + b? Which zeroes of p(x) are not the zeroes of p (x)?