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A polynomial of the form ax^{5 }+ bx^{3 }+ cx^{2} + dx + e has atmost _______ zeroes.
If one zero of the polynomial f (x) = (k^{2} + 4) x^{2} + 13x + 4k is reciprocal of the other, then k is equal to _______.
For x^{2} + 2x + 5 to be a factor of x^{4} + αx^{2} + β, the values of α and β should respectively be _______.
If α and β are the roots of the equation 2x^{2} – 7x + 8 = 0, then the equation whose roots are(3α – 4β) and (3β – 4α) is _______.
Area of a triangular field is (x^{4} – 6x^{3} – 26x^{2} + 138x – 35) m^{2} and base of the triangular field is (x^{2 }– 4x + 1) m. Find the height of the triangular field.
If α, β be two zeroes of the quadratic polynomial ax^{2} + bx – c = 0, then find the value of
Raghav had ₹(6x^{3} + 2x^{2 }+ 3x) and he bought (4x^{2} + 3) shirts. The price of each shirt is ₹(x + 5). How much money is left with Raghav?
A rectangular garden of length (2x^{3} + 5x^{2} – 7) m has the perimeter (4x^{3} – 2x^{2} + 4) m. Find the breadth of the garden.
Length and breadth of a rectangular park are (3x^{2} + 2x) m and (2x^{3} – 3) m respectively. Find the area of the park, when x = 3.
Two different container contains (2x^{3} + 2x^{2} + 3x + 3) L and (4x^{3} – 2x^{2} + 6x – 3) L water. What is biggest measure that can measure both quantities exactly?
11 videos36 docs201 tests

11 videos36 docs201 tests
