If α and β are the zeroes of the polynomial x² - 5x + 6, then the value of 1/α + 1/β is:

What must be subtracted from p(x) = 8x⁴ + 14x³ - 2x² + 7x - 8 so that the resulting polynomial is exactly divisible by g(x) = 4x² + 3x - 2?

If α and β are the zeroes of the polynomial 2x² - 3x + 1, then the value of α² + β² is:

The product of the zeroes of the cubic polynomial p(x) = x³ - 7x + 6 is:

The sum of the zeroes of the cubic polynomial 2x³ - 5x² - 14x + 8 is:

The sum of the zeroes of the quadratic polynomial 3x² + 5x - 2 is:

The product of the zeroes of the quadratic polynomial 2x² - 9x + 4 is:

If two zeroes of the polynomial x⁴ - 6x³ - 26x² + 138x - 35 are 2 ± √3, the other two zeroes are:

A quadratic polynomial whose sum and product of zeroes are -3 and 2 respectively is:

If the zeroes of the polynomial 5x² + 13x + k are reciprocal of each other, then the value of k is:

On dividing x³ - 3x² + x + 2 by a polynomial g(x), the quotient and remainder were x-2 and -2x+4 respectively. Then g(x) is:

If the graph of a quadratic polynomial lies entirely above the x-axis, then it has:

If the zeroes of the quadratic polynomial x² + (a+1)x + b are 2 and -3, then:

If 1 is a zero of the polynomial p(x) = ax² - 3(a-1)x - 1, then the value of 'a' is:

Which of the following expressions is a polynomial?

The degree of the polynomial p(x) = 7x³ - 4x⁵ + 2x + 9 is:

The sum of the digits of a two-digit number is 9. If 27 is added to the number, its digits are reversed. The number is:

The pair of equations 3x - 5y = 7 and -6x + 10y = 7 has: