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If a and b are the zeros of ax^{2 }+ bx + c, find the value of
If the sum of squares of zeros of the quadratic polynomial P(x) = x^{2}  8x + k is 40. What is the value of k?
What must be subtracted from 8x^{4} + 14x^{3}  2x^{2} + 7x  8 so that the resulting polynomial is exactly divisible by 4x^{2} + 3x  2?
What is the cubic polynomial in which the sum, sum of the products of its zeros taken at a time and product of its zeros as 2, 7, 14 respectively?
If the product of two zeros of the polynomial 2 x^{3} + 6x^{2 }− 4x + 9 is 3 then what is its third zero?
If α, β, γ are the zeros of the polynomial 2 x^{3} + x^{2 }− 13x + 6. What is the value of αβγ?
What must be added to f(x) = 4x^{4} + 2x^{3 }− 2x^{2} + x − 1 so that the resulting polynomial is divisible by g (x) = x^{2} + 2x − 3?
What is the cubic polynomial whose zeros are α, β, γ such that α + β + γ = 4. αβγ =  6 and αβ + βγ + γα = 1?
Which quadratic polynomial has sum of whose zeros is 5 and product of its zero is 12?
11 videos36 docs201 tests

11 videos36 docs201 tests
