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Polynomial and Its General Form

x2+x+1 is a f...

Question

$x^{2} + x + 1$ is a factor of $a x^{3} + b x^{2} + c x + d = 0$ where $(a, b, c, d, \in R)$ , then the real root of above equation is

A

- d / a

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B

d / a

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C

(b - a) / a

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D

(a - b) / a

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Solution

The correct options are
A $- d / a$
D $(a - b) / a$

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Similar questions

x^{2} + x + 1

a x^{3} + b x^{2} + c x + d

, then real root of

a x^{3} + b x^{2} + c x + d = 0

x^{2} + x + 1

is a factor of a

x^{3} + b x^{2} + c x + d = 0

, the the real root of above equation is

(a, b, c, d ϵ R)

.

b^{2} < 2 a c

a, b, c, d \in R,

then the number of real roots of the equation

a x^{3} + b x^{2} + c x + d = 0

x = \sqrt{2} + \sqrt{3} + \sqrt{6}

x^{4} + a x^{3} + b x^{2} + c x + d = 0

a, b, c, d

are integers, what is the value of

| a + b + c + d |

x = \sqrt{2} + \sqrt{3} + \sqrt{6}

x^{4} + a x^{3} + b x^{2} + c x + d = 0

a, b, c, d

are integers, what is the value of

| a + b + c + d |

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