Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The polynomial x3 + 2x + 3 has
पर्याय
one negative and two imaginary zeros
one positive and two imaginary zeros
three real zeros
no zeros
उत्तर
one negative and two imaginary zeros
APPEARS IN
संबंधित प्रश्न
Solve the cubic equation: 2x3 – x2 – 18x + 9 = 0 if sum of two of its roots vanishes
Solve the equation 9x3 – 36x2 + 44x – 16 = 0 if the roots form an arithmetic progression
Solve the equation 3x3 – 26x2 + 52x – 24 = 0 if its roots form a geometric progression
Determine k and solve the equation 2x3 – 6x2 + 3x + k = 0 if one of its roots is twice the sum of the other two roots
Find all zeros of the polynomial x6 – 3x5 – 5x4 + 22x3 – 39x2 – 39x + 135, if it is known that 1 + 2i and `sqrt(3)` are two of its zeros
Solve the cubic equations:
2x3 – 9x2 + 10x = 3
Solve the equation:
x4 – 14x2 + 45 = 0
Solve: (x – 5)(x – 7) (x + 6)(x + 4) = 504
Solve: (x – 4)(x – 2)(x- 7)(x + 1) = 16
Solve: (2x – 1)(x + 3)(x – 2)(2x + 3) + 20 = 0
Choose the correct alternative:
A zero of x3 + 64 is
Choose the correct alternative:
If α, β and γ are the zeros of x3 + px2 + qx + r, then `sum 1/alpha` is
Choose the correct alternative:
If x3 + 12x2 + 10ax + 1999 definitely has a positive zero, if and only if
Choose the correct alternative:
The number of positive roots of the polynomials `sum_("j" = 0)^"n" ""^"n""C"_"r" (- 1)^"r" x^"r"` is