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Relation between Roots and Coefficients for Quadratic

If a polynomi...

Question

If a polynomial equation has rational coefficients and has exactly three real roots, then what is the degree of the polynomial?

Equal to

3

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Greater than or equal to

3

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Strictly greater than

3

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Less than

3

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Solution

The correct option is C Equal to $3$
If polynomial has rational coefficients then it has real roots & as this polynomial has 3 real roots therefore degree of polynomial is 3

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Similar questions

Fill in the blank with greater than, less than, or equal to.

(-3) - (-4) ___ (-4) + (-3)

x^{2}

Column - I	Column - II
(A) Imaginary roots	(P) $(- \infty, - \frac{8}{7})$
(B) One root less than 3 other root is greater than 3	(Q) (-1, 4)
(C) One root less than 1 & other root is greater than 3	(R) $(- \infty, - \frac{4}{3})$

a_{n} x^{n} + a_{n - 1} x^{n - 1} + . . . . . . . . . + a_{1} x = 0, a_{1} \neq 0, n \geq 2,

x = α

n a_{n} x^{n - 1} + (n - 1) a_{n - 1} x^{n - 2} + . . . . . . . + a_{1} = 0

3

4

8

6

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