If a, b are zeros of 2x2 + 5x − 10 then what is the value of αβ?
If l, m, n are the zeros of polynomial x3 − px2 + dx − r then what is the value of
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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 − x3 − 3x + 5, then what is the remainder?
If α, β are zeros of the polynomial x2 − px + d, then what is the value of
If a , b are the zeros of the polynomial x2 - 5x + P such that α - β = 1. What is the value of P?
If α, β are the zeros of quadratic polynomial 6x2 + x - 2, find the value of
Find the other two zeros of the polynomial 2x4 - 3x3 - 3x2 + 6x - 2 if its two roots are √2 and - √2.
Find the zeros of the polynomial x3 − 5x2 − 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 −x2 + x −1 gives a quotient x - 2 and remainder 3.
If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 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 + x2 and quotient is (3x - 1) then what is the dividend if dividend is completely divisible?