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If a, b are zeros of 2x^{2} + 5x − 10 then what is the value of αβ?
If l, m, n are the zeros of polynomial x^{3} − px^{2 }+ dx − r then what is the value of
If α, β are the zeros of a polynomial such α + β = 6 and ab = 4, then what is the polynomial?
If divisor is x  1  x^{ 2} and dividend is 3x^{ 2} − x^{3 }− 3x + 5, then what is the remainder?
If α, β are zeros of the polynomial x^{2} − px + d, then what is the value of
What are the zeros of abx^{2 }+ (b^{2}  ac)x  bc?
If a , b are the zeros of the polynomial x^{2 } 5x + P such that α  β = 1. What is the value of P?
If α, β are the zeros of quadratic polynomial 6x^{2} + x  2, find the value of
Find the other two zeros of the polynomial 2x^{4}  3x^{3}  3x^{2} + 6x  2 if its two roots are √2 and  √2.
Find the zeros of the polynomial x^{3} − 5x^{2 }− 16 x + 80 if two zeros are equal in magnitude but opposite in sign.
Find a cubic polynomial whose zeros are α, β, g such that α + β + γ= 6, αβ + βγ + γα = 1 and αβγ = 30.
Find the polynomial which when divided by −x^{2} + x −1 gives a quotient x  2 and remainder 3.
If the polynomial 6x^{4} + 8x^{3} + 17x^{2} + 21x + 7 is divided by another polynomial 3x^{2} + 4x + 1, the remainder comes out to be ax + b. What is the value of a and b?
Find a cubic polynomial whose roots are 2, 3, and 1.
If divisor is 2 − x + x^{2} and quotient is (3x  1) then what is the dividend if dividend is completely divisible?
11 videos36 docs201 tests

11 videos36 docs201 tests
