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If sum of all zeros of the polynomial 5x^{2} – (3 + k)x + 7 is zero, then zeroes of the polynomial 2x^{2} – 2(k + 11)x + 30 are
px^{3} + qx^{2} + rx + s = 0 is said to be cubic polynomial, if _______.
If a and b are the roots of the quadratic equation x^{2} + px + 12 = 0 with the condition a – b = 1, then the value of ‘p’ is _______.
If the sum of the product of the zeroes taken two at a time of the polynomial f(x) = 2x^{3} – 3x^{2 }+ 4tx – 5 is –8, then the value of t is _______.
A cubic polynomial with sum of its zeroes, sum of the product of its zeroes taken two at a time and the product of its zeroes as –3, 8, 4 respectively, is _______.
What will be the value of p(3), if 3 is one of zeroes of polynomial p(x) = x^{3} + bx + D?
When x^{3} – 3x^{2} + 3x + 5 is divided by x^{2} – x + 1, the quotient and remainder are _______.
If p, q are the zeroes of the polynomial f(x) = x^{2} + k(x – 1) – c, then (p – 1)(q – 1) is equal to _______.
Which of the following graph has more than three distinct real roots?
What should be subtracted from f (x) = 6x^{3} + 11x^{2} – 39x – 65 so that f(x) is exactly divisible by x^{2} + x – 1?
11 videos36 docs201 tests

11 videos36 docs201 tests
