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Relations between Roots and Coefficients : Higher Order Equations

Consider the ...

Question

Consider the polynomial $f (x) = 1 + 2 x + 3 x^{2} + 4 x^{3}$ . Let $s$ be the sum of all distinct real roots of \f(x)=0\) and let $t = | s |$ .

A

B

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B

A

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C

D

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D

C

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Similar questions

Consider the polynomial

f (x) = 1 + 2 x + 3 x^{2} + 4 x^{3}

s

be the sum of all distinct real roots of

f (x)

t = | s |

, then the function

f^{'} (x)

Q. Consider the polynomial

f (x) = 1 + 2 x + 3 x^{2} + 4 x^{3} .

s

be the sum of all distinct real roots of

f (x) = 0

| s | = t .

The real number

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Q.
Consider the polynomial

f (x) = 1 + 2 x + 3 x^{2} + 4 x^{3}

s

be the sum of all distinct real roots of

f (x)

t = | s |

.

The real number

s

lies in the interval

Consider the polynomial

f (x) = 1 + 2 x + 3 x^{2} + 4 x^{3}

s

be the sum of all distinct real roots of

f (x)

t = | s |

.

The area bounded by the curve

y = f (x)

x = 0, y = 0

x = t

, lies in the interval

f

g

be two real valued functions and

S = {x | f (x) = 0}

T = {x | g (x) = 0}

S \cap T

represent the set of roots of

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Relations between Roots and Coefficients : Higher Order Equations

Standard XII Mathematics

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